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Finding the Fourth Proportional to 408,377.73, 563,574.95 and 224,624.07

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Solution

The fourth proportional to 408,377.73, 563,574.95 and 224,624.07 is: 309,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,377.73 : 563,574.95 = 224,624.07 : x
  2. Step 2: Convert to fraction form
    408,377.73/563,574.95 = 224,624.07/x
  3. Step 3: Cross multiply
    408,377.73x = 563,574.95 × 224,624.07
  4. Step 4: Simplify right side
    408,377.73x = 126,592,497,895.93
  5. Step 5: Solve for x
    x = 126,592,497,895.93/408,377.73
  6. Step 6: Final answer
    x = 309,988.74

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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.