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Finding the Fourth Proportional to 462,497.92, 693,737.16 and 213,179.92

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Solution

The fourth proportional to 462,497.92, 693,737.16 and 213,179.92 is: 319,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,497.92 : 693,737.16 = 213,179.92 : x
  2. Step 2: Convert to fraction form
    462,497.92/693,737.16 = 213,179.92/x
  3. Step 3: Cross multiply
    462,497.92x = 693,737.16 × 213,179.92
  4. Step 4: Simplify right side
    462,497.92x = 147,890,832,269.83
  5. Step 5: Solve for x
    x = 147,890,832,269.83/462,497.92
  6. Step 6: Final answer
    x = 319,765.40

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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.