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Finding the Fourth Proportional to 497,402.52, 745,519.32 and 230,601.48

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Solution

The fourth proportional to 497,402.52, 745,519.32 and 230,601.48 is: 345,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,402.52 : 745,519.32 = 230,601.48 : x
  2. Step 2: Convert to fraction form
    497,402.52/745,519.32 = 230,601.48/x
  3. Step 3: Cross multiply
    497,402.52x = 745,519.32 × 230,601.48
  4. Step 4: Simplify right side
    497,402.52x = 171,917,858,560.59
  5. Step 5: Solve for x
    x = 171,917,858,560.59/497,402.52
  6. Step 6: Final answer
    x = 345,631.26

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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.