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Finding the Fourth Proportional to 409,216.32, 564,719.70 and 237,167.70

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Solution

The fourth proportional to 409,216.32, 564,719.70 and 237,167.70 is: 327,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,216.32 : 564,719.70 = 237,167.70 : x
  2. Step 2: Convert to fraction form
    409,216.32/564,719.70 = 237,167.70/x
  3. Step 3: Cross multiply
    409,216.32x = 564,719.70 × 237,167.70
  4. Step 4: Simplify right side
    409,216.32x = 133,933,272,393.69
  5. Step 5: Solve for x
    x = 133,933,272,393.69/409,216.32
  6. Step 6: Final answer
    x = 327,292.11

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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.