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Finding the Fourth Proportional to 510,156.60, 765,234.90 and 431,424.60

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Solution

The fourth proportional to 510,156.60, 765,234.90 and 431,424.60 is: 647,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,156.60 : 765,234.90 = 431,424.60 : x
  2. Step 2: Convert to fraction form
    510,156.60/765,234.90 = 431,424.60/x
  3. Step 3: Cross multiply
    510,156.60x = 765,234.90 × 431,424.60
  4. Step 4: Simplify right side
    510,156.60x = 330,141,160,638.54
  5. Step 5: Solve for x
    x = 330,141,160,638.54/510,156.60
  6. Step 6: Final answer
    x = 647,136.90

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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.