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Finding the Fourth Proportional to 311,004.69, 466,507.98 and 86,377.38

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Solution

The fourth proportional to 311,004.69, 466,507.98 and 86,377.38 is: 129,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,004.69 : 466,507.98 = 86,377.38 : x
  2. Step 2: Convert to fraction form
    311,004.69/466,507.98 = 86,377.38/x
  3. Step 3: Cross multiply
    311,004.69x = 466,507.98 × 86,377.38
  4. Step 4: Simplify right side
    311,004.69x = 40,295,737,061.49
  5. Step 5: Solve for x
    x = 40,295,737,061.49/311,004.69
  6. Step 6: Final answer
    x = 129,566.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.