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Finding the Fourth Proportional to 576,950.82, 865,508.13 and 177,624.78

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Solution

The fourth proportional to 576,950.82, 865,508.13 and 177,624.78 is: 266,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,950.82 : 865,508.13 = 177,624.78 : x
  2. Step 2: Convert to fraction form
    576,950.82/865,508.13 = 177,624.78/x
  3. Step 3: Cross multiply
    576,950.82x = 865,508.13 × 177,624.78
  4. Step 4: Simplify right side
    576,950.82x = 153,735,691,179.46
  5. Step 5: Solve for x
    x = 153,735,691,179.46/576,950.82
  6. Step 6: Final answer
    x = 266,462.38

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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.