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Finding the Fourth Proportional to 415,217.59, 573,000.26 and 224,230.96

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Solution

The fourth proportional to 415,217.59, 573,000.26 and 224,230.96 is: 309,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,217.59 : 573,000.26 = 224,230.96 : x
  2. Step 2: Convert to fraction form
    415,217.59/573,000.26 = 224,230.96/x
  3. Step 3: Cross multiply
    415,217.59x = 573,000.26 × 224,230.96
  4. Step 4: Simplify right side
    415,217.59x = 128,484,394,393.89
  5. Step 5: Solve for x
    x = 128,484,394,393.89/415,217.59
  6. Step 6: Final answer
    x = 309,438.71

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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.