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Finding the Fourth Proportional to 409,894.96, 614,663.87 and 217,727.33

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Solution

The fourth proportional to 409,894.96, 614,663.87 and 217,727.33 is: 326,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.96 : 614,663.87 = 217,727.33 : x
  2. Step 2: Convert to fraction form
    409,894.96/614,663.87 = 217,727.33/x
  3. Step 3: Cross multiply
    409,894.96x = 614,663.87 × 217,727.33
  4. Step 4: Simplify right side
    409,894.96x = 133,829,123,262.57
  5. Step 5: Solve for x
    x = 133,829,123,262.57/409,894.96
  6. Step 6: Final answer
    x = 326,496.14

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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.