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Finding the Fourth Proportional to 415,780.41, 573,776.82 and 224,793.75

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Solution

The fourth proportional to 415,780.41, 573,776.82 and 224,793.75 is: 310,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,780.41 : 573,776.82 = 224,793.75 : x
  2. Step 2: Convert to fraction form
    415,780.41/573,776.82 = 224,793.75/x
  3. Step 3: Cross multiply
    415,780.41x = 573,776.82 × 224,793.75
  4. Step 4: Simplify right side
    415,780.41x = 128,981,443,030.88
  5. Step 5: Solve for x
    x = 128,981,443,030.88/415,780.41
  6. Step 6: Final answer
    x = 310,215.30

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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.