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Finding the Fourth Proportional to 498,235.64, 747,648.70 and 466,711.88

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Solution

The fourth proportional to 498,235.64, 747,648.70 and 466,711.88 is: 700,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,235.64 : 747,648.70 = 466,711.88 : x
  2. Step 2: Convert to fraction form
    498,235.64/747,648.70 = 466,711.88/x
  3. Step 3: Cross multiply
    498,235.64x = 747,648.70 × 466,711.88
  4. Step 4: Simplify right side
    498,235.64x = 348,936,530,356.56
  5. Step 5: Solve for x
    x = 348,936,530,356.56/498,235.64
  6. Step 6: Final answer
    x = 700,344.38

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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.