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Finding the Fourth Proportional to 374,524.92, 516,848.17 and 202,446.22

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Solution

The fourth proportional to 374,524.92, 516,848.17 and 202,446.22 is: 279,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,524.92 : 516,848.17 = 202,446.22 : x
  2. Step 2: Convert to fraction form
    374,524.92/516,848.17 = 202,446.22/x
  3. Step 3: Cross multiply
    374,524.92x = 516,848.17 × 202,446.22
  4. Step 4: Simplify right side
    374,524.92x = 104,633,957,291.36
  5. Step 5: Solve for x
    x = 104,633,957,291.36/374,524.92
  6. Step 6: Final answer
    x = 279,377.82

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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.