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Finding the Fourth Proportional to 408,182.54, 563,298.65 and 224,428.88

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Solution

The fourth proportional to 408,182.54, 563,298.65 and 224,428.88 is: 309,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,182.54 : 563,298.65 = 224,428.88 : x
  2. Step 2: Convert to fraction form
    408,182.54/563,298.65 = 224,428.88/x
  3. Step 3: Cross multiply
    408,182.54x = 563,298.65 × 224,428.88
  4. Step 4: Simplify right side
    408,182.54x = 126,420,481,186.37
  5. Step 5: Solve for x
    x = 126,420,481,186.37/408,182.54
  6. Step 6: Final answer
    x = 309,715.55

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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.