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Finding the Fourth Proportional to 391,144.92, 586,623.30 and 180,580.68

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Solution

The fourth proportional to 391,144.92, 586,623.30 and 180,580.68 is: 270,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,144.92 : 586,623.30 = 180,580.68 : x
  2. Step 2: Convert to fraction form
    391,144.92/586,623.30 = 180,580.68/x
  3. Step 3: Cross multiply
    391,144.92x = 586,623.30 × 180,580.68
  4. Step 4: Simplify right side
    391,144.92x = 105,932,834,417.84
  5. Step 5: Solve for x
    x = 105,932,834,417.84/391,144.92
  6. Step 6: Final answer
    x = 270,827.59

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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.