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Finding the Fourth Proportional to 408,423.27, 563,541.39 and 238,624.59

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Solution

The fourth proportional to 408,423.27, 563,541.39 and 238,624.59 is: 329,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,423.27 : 563,541.39 = 238,624.59 : x
  2. Step 2: Convert to fraction form
    408,423.27/563,541.39 = 238,624.59/x
  3. Step 3: Cross multiply
    408,423.27x = 563,541.39 × 238,624.59
  4. Step 4: Simplify right side
    408,423.27x = 134,474,833,136.78
  5. Step 5: Solve for x
    x = 134,474,833,136.78/408,423.27
  6. Step 6: Final answer
    x = 329,253.60

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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.