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Finding the Fourth Proportional to 498,732.16, 748,195.84 and 183,191.52

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Solution

The fourth proportional to 498,732.16, 748,195.84 and 183,191.52 is: 274,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,732.16 : 748,195.84 = 183,191.52 : x
  2. Step 2: Convert to fraction form
    498,732.16/748,195.84 = 183,191.52/x
  3. Step 3: Cross multiply
    498,732.16x = 748,195.84 × 183,191.52
  4. Step 4: Simplify right side
    498,732.16x = 137,063,133,187.28
  5. Step 5: Solve for x
    x = 137,063,133,187.28/498,732.16
  6. Step 6: Final answer
    x = 274,823.13

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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.