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Finding the Fourth Proportional to 587,098.47, 880,370.13 and 227,437.77

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Solution

The fourth proportional to 587,098.47, 880,370.13 and 227,437.77 is: 341,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,098.47 : 880,370.13 = 227,437.77 : x
  2. Step 2: Convert to fraction form
    587,098.47/880,370.13 = 227,437.77/x
  3. Step 3: Cross multiply
    587,098.47x = 880,370.13 × 227,437.77
  4. Step 4: Simplify right side
    587,098.47x = 200,229,419,141.81
  5. Step 5: Solve for x
    x = 200,229,419,141.81/587,098.47
  6. Step 6: Final answer
    x = 341,049.12

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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.