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Finding the Fourth Proportional to 408,366.90, 563,463.32 and 238,568.22

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Solution

The fourth proportional to 408,366.90, 563,463.32 and 238,568.22 is: 329,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,366.90 : 563,463.32 = 238,568.22 : x
  2. Step 2: Convert to fraction form
    408,366.90/563,463.32 = 238,568.22/x
  3. Step 3: Cross multiply
    408,366.90x = 563,463.32 × 238,568.22
  4. Step 4: Simplify right side
    408,366.90x = 134,424,441,287.69
  5. Step 5: Solve for x
    x = 134,424,441,287.69/408,366.90
  6. Step 6: Final answer
    x = 329,175.65

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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.