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Finding the Fourth Proportional to 586,176.77, 878,805.80 and 231,456.30

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Solution

The fourth proportional to 586,176.77, 878,805.80 and 231,456.30 is: 347,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,176.77 : 878,805.80 = 231,456.30 : x
  2. Step 2: Convert to fraction form
    586,176.77/878,805.80 = 231,456.30/x
  3. Step 3: Cross multiply
    586,176.77x = 878,805.80 × 231,456.30
  4. Step 4: Simplify right side
    586,176.77x = 203,405,138,886.54
  5. Step 5: Solve for x
    x = 203,405,138,886.54/586,176.77
  6. Step 6: Final answer
    x = 347,003.07

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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.