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Finding the Fourth Proportional to 510,848.60, 766,272.90 and 431,132.45

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Solution

The fourth proportional to 510,848.60, 766,272.90 and 431,132.45 is: 646,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,848.60 : 766,272.90 = 431,132.45 : x
  2. Step 2: Convert to fraction form
    510,848.60/766,272.90 = 431,132.45/x
  3. Step 3: Cross multiply
    510,848.60x = 766,272.90 × 431,132.45
  4. Step 4: Simplify right side
    510,848.60x = 330,365,112,745.61
  5. Step 5: Solve for x
    x = 330,365,112,745.61/510,848.60
  6. Step 6: Final answer
    x = 646,698.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.