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Finding the Fourth Proportional to 4,654,143.72, 6,981,216.12 and 1,459,549.08

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Solution

The fourth proportional to 4,654,143.72, 6,981,216.12 and 1,459,549.08 is: 2,189,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654,143.72 : 6,981,216.12 = 1,459,549.08 : x
  2. Step 2: Convert to fraction form
    4,654,143.72/6,981,216.12 = 1,459,549.08/x
  3. Step 3: Cross multiply
    4,654,143.72x = 6,981,216.12 × 1,459,549.08
  4. Step 4: Simplify right side
    4,654,143.72x = 10,189,427,565,227.17
  5. Step 5: Solve for x
    x = 10,189,427,565,227.17/4,654,143.72
  6. Step 6: Final answer
    x = 2,189,323.79

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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.