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Finding the Fourth Proportional to 497,715.60, 748,416.60 and 416,614.80

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Solution

The fourth proportional to 497,715.60, 748,416.60 and 416,614.80 is: 626,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,715.60 : 748,416.60 = 416,614.80 : x
  2. Step 2: Convert to fraction form
    497,715.60/748,416.60 = 416,614.80/x
  3. Step 3: Cross multiply
    497,715.60x = 748,416.60 × 416,614.80
  4. Step 4: Simplify right side
    497,715.60x = 311,801,432,125.68
  5. Step 5: Solve for x
    x = 311,801,432,125.68/497,715.60
  6. Step 6: Final answer
    x = 626,465.06

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