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Finding the Fourth Proportional to 391,122.92, 586,590.42 and 180,558.56

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Solution

The fourth proportional to 391,122.92, 586,590.42 and 180,558.56 is: 270,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,122.92 : 586,590.42 = 180,558.56 : x
  2. Step 2: Convert to fraction form
    391,122.92/586,590.42 = 180,558.56/x
  3. Step 3: Cross multiply
    391,122.92x = 586,590.42 × 180,558.56
  4. Step 4: Simplify right side
    391,122.92x = 105,913,921,545.00
  5. Step 5: Solve for x
    x = 105,913,921,545.00/391,122.92
  6. Step 6: Final answer
    x = 270,794.46

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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.