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Finding the Fourth Proportional to 580,262.24, 870,641.04 and 327,732.32

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Solution

The fourth proportional to 580,262.24, 870,641.04 and 327,732.32 is: 491,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,262.24 : 870,641.04 = 327,732.32 : x
  2. Step 2: Convert to fraction form
    580,262.24/870,641.04 = 327,732.32/x
  3. Step 3: Cross multiply
    580,262.24x = 870,641.04 × 327,732.32
  4. Step 4: Simplify right side
    580,262.24x = 285,337,207,926.41
  5. Step 5: Solve for x
    x = 285,337,207,926.41/580,262.24
  6. Step 6: Final answer
    x = 491,738.37

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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.