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Finding the Fourth Proportional to 580,654.86, 870,643.28 and 225,253.58

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Solution

The fourth proportional to 580,654.86, 870,643.28 and 225,253.58 is: 337,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,654.86 : 870,643.28 = 225,253.58 : x
  2. Step 2: Convert to fraction form
    580,654.86/870,643.28 = 225,253.58/x
  3. Step 3: Cross multiply
    580,654.86x = 870,643.28 × 225,253.58
  4. Step 4: Simplify right side
    580,654.86x = 196,115,515,722.94
  5. Step 5: Solve for x
    x = 196,115,515,722.94/580,654.86
  6. Step 6: Final answer
    x = 337,748.86

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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.