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Finding the Fourth Proportional to 580,142.32, 870,194.33 and 238,573.92

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Solution

The fourth proportional to 580,142.32, 870,194.33 and 238,573.92 is: 357,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,142.32 : 870,194.33 = 238,573.92 : x
  2. Step 2: Convert to fraction form
    580,142.32/870,194.33 = 238,573.92/x
  3. Step 3: Cross multiply
    580,142.32x = 870,194.33 × 238,573.92
  4. Step 4: Simplify right side
    580,142.32x = 207,605,676,105.87
  5. Step 5: Solve for x
    x = 207,605,676,105.87/580,142.32
  6. Step 6: Final answer
    x = 357,853.01

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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.