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Finding the Fourth Proportional to 409,849.44, 565,591.13 and 228,561.58

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Solution

The fourth proportional to 409,849.44, 565,591.13 and 228,561.58 is: 315,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849.44 : 565,591.13 = 228,561.58 : x
  2. Step 2: Convert to fraction form
    409,849.44/565,591.13 = 228,561.58/x
  3. Step 3: Cross multiply
    409,849.44x = 565,591.13 × 228,561.58
  4. Step 4: Simplify right side
    409,849.44x = 129,272,402,306.79
  5. Step 5: Solve for x
    x = 129,272,402,306.79/409,849.44
  6. Step 6: Final answer
    x = 315,414.37

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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.