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Finding the Fourth Proportional to 407,651.93, 610,887.27 and 229,780.39

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Solution

The fourth proportional to 407,651.93, 610,887.27 and 229,780.39 is: 344,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,651.93 : 610,887.27 = 229,780.39 : x
  2. Step 2: Convert to fraction form
    407,651.93/610,887.27 = 229,780.39/x
  3. Step 3: Cross multiply
    407,651.93x = 610,887.27 × 229,780.39
  4. Step 4: Simplify right side
    407,651.93x = 140,369,910,943.30
  5. Step 5: Solve for x
    x = 140,369,910,943.30/407,651.93
  6. Step 6: Final answer
    x = 344,337.66

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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.