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Finding the Fourth Proportional to 408,265.66, 563,418.84 and 224,494.72

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Solution

The fourth proportional to 408,265.66, 563,418.84 and 224,494.72 is: 309,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,265.66 : 563,418.84 = 224,494.72 : x
  2. Step 2: Convert to fraction form
    408,265.66/563,418.84 = 224,494.72/x
  3. Step 3: Cross multiply
    408,265.66x = 563,418.84 × 224,494.72
  4. Step 4: Simplify right side
    408,265.66x = 126,484,554,728.53
  5. Step 5: Solve for x
    x = 126,484,554,728.53/408,265.66
  6. Step 6: Final answer
    x = 309,809.44

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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.