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Finding the Fourth Proportional to 498,345.52, 747,616.74 and 182,805.16

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Solution

The fourth proportional to 498,345.52, 747,616.74 and 182,805.16 is: 274,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,345.52 : 747,616.74 = 182,805.16 : x
  2. Step 2: Convert to fraction form
    498,345.52/747,616.74 = 182,805.16/x
  3. Step 3: Cross multiply
    498,345.52x = 747,616.74 × 182,805.16
  4. Step 4: Simplify right side
    498,345.52x = 136,668,197,774.38
  5. Step 5: Solve for x
    x = 136,668,197,774.38/498,345.52
  6. Step 6: Final answer
    x = 274,243.86

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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.