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Finding the Fourth Proportional to 415,678.05, 573,635.47 and 224,691.45

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Solution

The fourth proportional to 415,678.05, 573,635.47 and 224,691.45 is: 310,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.05 : 573,635.47 = 224,691.45 : x
  2. Step 2: Convert to fraction form
    415,678.05/573,635.47 = 224,691.45/x
  3. Step 3: Cross multiply
    415,678.05x = 573,635.47 × 224,691.45
  4. Step 4: Simplify right side
    415,678.05x = 128,890,982,812.87
  5. Step 5: Solve for x
    x = 128,890,982,812.87/415,678.05
  6. Step 6: Final answer
    x = 310,074.06

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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.