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Finding the Fourth Proportional to 415,825.76, 573,839.88 and 224,839.28

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Solution

The fourth proportional to 415,825.76, 573,839.88 and 224,839.28 is: 310,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,825.76 : 573,839.88 = 224,839.28 : x
  2. Step 2: Convert to fraction form
    415,825.76/573,839.88 = 224,839.28/x
  3. Step 3: Cross multiply
    415,825.76x = 573,839.88 × 224,839.28
  4. Step 4: Simplify right side
    415,825.76x = 129,021,745,454.49
  5. Step 5: Solve for x
    x = 129,021,745,454.49/415,825.76
  6. Step 6: Final answer
    x = 310,278.39

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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.