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Finding the Fourth Proportional to 586,178.98, 878,809.13 and 231,458.52

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Solution

The fourth proportional to 586,178.98, 878,809.13 and 231,458.52 is: 347,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.98 : 878,809.13 = 231,458.52 : x
  2. Step 2: Convert to fraction form
    586,178.98/878,809.13 = 231,458.52/x
  3. Step 3: Cross multiply
    586,178.98x = 878,809.13 × 231,458.52
  4. Step 4: Simplify right side
    586,178.98x = 203,407,860,592.29
  5. Step 5: Solve for x
    x = 203,407,860,592.29/586,178.98
  6. Step 6: Final answer
    x = 347,006.41

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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.