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Finding the Fourth Proportional to 408,423.65, 563,541.91 and 238,624.97

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Solution

The fourth proportional to 408,423.65, 563,541.91 and 238,624.97 is: 329,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,423.65 : 563,541.91 = 238,624.97 : x
  2. Step 2: Convert to fraction form
    408,423.65/563,541.91 = 238,624.97/x
  3. Step 3: Cross multiply
    408,423.65x = 563,541.91 × 238,624.97
  4. Step 4: Simplify right side
    408,423.65x = 134,475,167,953.22
  5. Step 5: Solve for x
    x = 134,475,167,953.22/408,423.65
  6. Step 6: Final answer
    x = 329,254.12

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