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Finding the Fourth Proportional to 415,678.16, 573,635.61 and 224,691.55

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Solution

The fourth proportional to 415,678.16, 573,635.61 and 224,691.55 is: 310,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.16 : 573,635.61 = 224,691.55 : x
  2. Step 2: Convert to fraction form
    415,678.16/573,635.61 = 224,691.55/x
  3. Step 3: Cross multiply
    415,678.16x = 573,635.61 × 224,691.55
  4. Step 4: Simplify right side
    415,678.16x = 128,891,072,994.28
  5. Step 5: Solve for x
    x = 128,891,072,994.28/415,678.16
  6. Step 6: Final answer
    x = 310,074.20

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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.