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Finding the Fourth Proportional to 408,463.09, 563,675.92 and 224,697.70

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Solution

The fourth proportional to 408,463.09, 563,675.92 and 224,697.70 is: 310,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,463.09 : 563,675.92 = 224,697.70 : x
  2. Step 2: Convert to fraction form
    408,463.09/563,675.92 = 224,697.70/x
  3. Step 3: Cross multiply
    408,463.09x = 563,675.92 × 224,697.70
  4. Step 4: Simplify right side
    408,463.09x = 126,656,682,769.38
  5. Step 5: Solve for x
    x = 126,656,682,769.38/408,463.09
  6. Step 6: Final answer
    x = 310,081.10

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1.5x scale

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.