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Finding the Fourth Proportional to 466,938.92, 698,825.12 and 287,137.28

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Solution

The fourth proportional to 466,938.92, 698,825.12 and 287,137.28 is: 429,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,938.92 : 698,825.12 = 287,137.28 : x
  2. Step 2: Convert to fraction form
    466,938.92/698,825.12 = 287,137.28/x
  3. Step 3: Cross multiply
    466,938.92x = 698,825.12 × 287,137.28
  4. Step 4: Simplify right side
    466,938.92x = 200,658,744,463.85
  5. Step 5: Solve for x
    x = 200,658,744,463.85/466,938.92
  6. Step 6: Final answer
    x = 429,732.32

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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.