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Finding the Fourth Proportional to 408,031.59, 563,081.46 and 224,274.39

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Solution

The fourth proportional to 408,031.59, 563,081.46 and 224,274.39 is: 309,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031.59 : 563,081.46 = 224,274.39 : x
  2. Step 2: Convert to fraction form
    408,031.59/563,081.46 = 224,274.39/x
  3. Step 3: Cross multiply
    408,031.59x = 563,081.46 × 224,274.39
  4. Step 4: Simplify right side
    408,031.59x = 126,284,750,961.81
  5. Step 5: Solve for x
    x = 126,284,750,961.81/408,031.59
  6. Step 6: Final answer
    x = 309,497.49

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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.