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Finding the Fourth Proportional to 349,261.38, 523,454.10 and 149,347.14

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Solution

The fourth proportional to 349,261.38, 523,454.10 and 149,347.14 is: 223,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,261.38 : 523,454.10 = 149,347.14 : x
  2. Step 2: Convert to fraction form
    349,261.38/523,454.10 = 149,347.14/x
  3. Step 3: Cross multiply
    349,261.38x = 523,454.10 × 149,347.14
  4. Step 4: Simplify right side
    349,261.38x = 78,176,372,756.27
  5. Step 5: Solve for x
    x = 78,176,372,756.27/349,261.38
  6. Step 6: Final answer
    x = 223,833.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.