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Finding the Fourth Proportional to 468,193.97, 646,105.61 and 253,337.83

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Solution

The fourth proportional to 468,193.97, 646,105.61 and 253,337.83 is: 349,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,193.97 : 646,105.61 = 253,337.83 : x
  2. Step 2: Convert to fraction form
    468,193.97/646,105.61 = 253,337.83/x
  3. Step 3: Cross multiply
    468,193.97x = 646,105.61 × 253,337.83
  4. Step 4: Simplify right side
    468,193.97x = 163,682,988,691.01
  5. Step 5: Solve for x
    x = 163,682,988,691.01/468,193.97
  6. Step 6: Final answer
    x = 349,605.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.