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Finding the Fourth Proportional to 497,865.60, 746,798.40 and 284,414.40

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Solution

The fourth proportional to 497,865.60, 746,798.40 and 284,414.40 is: 426,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,865.60 : 746,798.40 = 284,414.40 : x
  2. Step 2: Convert to fraction form
    497,865.60/746,798.40 = 284,414.40/x
  3. Step 3: Cross multiply
    497,865.60x = 746,798.40 × 284,414.40
  4. Step 4: Simplify right side
    497,865.60x = 212,400,218,856.96
  5. Step 5: Solve for x
    x = 212,400,218,856.96/497,865.60
  6. Step 6: Final answer
    x = 426,621.60

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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.