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Finding the Fourth Proportional to 498,732.46, 747,756.94 and 178,877.48

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Solution

The fourth proportional to 498,732.46, 747,756.94 and 178,877.48 is: 268,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,732.46 : 747,756.94 = 178,877.48 : x
  2. Step 2: Convert to fraction form
    498,732.46/747,756.94 = 178,877.48/x
  3. Step 3: Cross multiply
    498,732.46x = 747,756.94 × 178,877.48
  4. Step 4: Simplify right side
    498,732.46x = 133,756,876,185.32
  5. Step 5: Solve for x
    x = 133,756,876,185.32/498,732.46
  6. Step 6: Final answer
    x = 268,193.65

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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.