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Finding the Fourth Proportional to 496,244.80, 744,367.20 and 472,916.80

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Solution

The fourth proportional to 496,244.80, 744,367.20 and 472,916.80 is: 709,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,244.80 : 744,367.20 = 472,916.80 : x
  2. Step 2: Convert to fraction form
    496,244.80/744,367.20 = 472,916.80/x
  3. Step 3: Cross multiply
    496,244.80x = 744,367.20 × 472,916.80
  4. Step 4: Simplify right side
    496,244.80x = 352,023,754,248.96
  5. Step 5: Solve for x
    x = 352,023,754,248.96/496,244.80
  6. Step 6: Final answer
    x = 709,375.20

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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.