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Finding the Fourth Proportional to 415,981.85, 574,055 and 224,995.25

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Solution

The fourth proportional to 415,981.85, 574,055 and 224,995.25 is: 310,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,981.85 : 574,055 = 224,995.25 : x
  2. Step 2: Convert to fraction form
    415,981.85/574,055 = 224,995.25/x
  3. Step 3: Cross multiply
    415,981.85x = 574,055 × 224,995.25
  4. Step 4: Simplify right side
    415,981.85x = 129,159,648,238.75
  5. Step 5: Solve for x
    x = 129,159,648,238.75/415,981.85
  6. Step 6: Final answer
    x = 310,493.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.