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Finding the Fourth Proportional to 510,071.90, 764,233.05 and 243,257.90

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Solution

The fourth proportional to 510,071.90, 764,233.05 and 243,257.90 is: 364,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,071.90 : 764,233.05 = 243,257.90 : x
  2. Step 2: Convert to fraction form
    510,071.90/764,233.05 = 243,257.90/x
  3. Step 3: Cross multiply
    510,071.90x = 764,233.05 × 243,257.90
  4. Step 4: Simplify right side
    510,071.90x = 185,905,726,853.60
  5. Step 5: Solve for x
    x = 185,905,726,853.60/510,071.90
  6. Step 6: Final answer
    x = 364,469.65

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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.