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Finding the Fourth Proportional to 498,730.84, 747,754.50 and 178,875.86

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Solution

The fourth proportional to 498,730.84, 747,754.50 and 178,875.86 is: 268,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,730.84 : 747,754.50 = 178,875.86 : x
  2. Step 2: Convert to fraction form
    498,730.84/747,754.50 = 178,875.86/x
  3. Step 3: Cross multiply
    498,730.84x = 747,754.50 × 178,875.86
  4. Step 4: Simplify right side
    498,730.84x = 133,755,226,188.38
  5. Step 5: Solve for x
    x = 133,755,226,188.38/498,730.84
  6. Step 6: Final answer
    x = 268,191.21

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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.