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Finding the Fourth Proportional to 408,182.04, 563,297.96 and 224,428.38

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Solution

The fourth proportional to 408,182.04, 563,297.96 and 224,428.38 is: 309,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,182.04 : 563,297.96 = 224,428.38 : x
  2. Step 2: Convert to fraction form
    408,182.04/563,297.96 = 224,428.38/x
  3. Step 3: Cross multiply
    408,182.04x = 563,297.96 × 224,428.38
  4. Step 4: Simplify right side
    408,182.04x = 126,420,047,497.96
  5. Step 5: Solve for x
    x = 126,420,047,497.96/408,182.04
  6. Step 6: Final answer
    x = 309,714.87

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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.