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Finding the Fourth Proportional to 498,049.46, 746,507.91 and 437,960.18

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Solution

The fourth proportional to 498,049.46, 746,507.91 and 437,960.18 is: 656,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,049.46 : 746,507.91 = 437,960.18 : x
  2. Step 2: Convert to fraction form
    498,049.46/746,507.91 = 437,960.18/x
  3. Step 3: Cross multiply
    498,049.46x = 746,507.91 × 437,960.18
  4. Step 4: Simplify right side
    498,049.46x = 326,940,742,143.64
  5. Step 5: Solve for x
    x = 326,940,742,143.64/498,049.46
  6. Step 6: Final answer
    x = 656,442.32

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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.