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Finding the Fourth Proportional to 408,264.66, 563,417.46 and 224,493.72

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Solution

The fourth proportional to 408,264.66, 563,417.46 and 224,493.72 is: 309,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,264.66 : 563,417.46 = 224,493.72 : x
  2. Step 2: Convert to fraction form
    408,264.66/563,417.46 = 224,493.72/x
  3. Step 3: Cross multiply
    408,264.66x = 563,417.46 × 224,493.72
  4. Step 4: Simplify right side
    408,264.66x = 126,483,681,508.35
  5. Step 5: Solve for x
    x = 126,483,681,508.35/408,264.66
  6. Step 6: Final answer
    x = 309,808.06

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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.