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Finding the Fourth Proportional to 401,614.50, 602,423.82 and 135,377.31

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Solution

The fourth proportional to 401,614.50, 602,423.82 and 135,377.31 is: 203,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,614.50 : 602,423.82 = 135,377.31 : x
  2. Step 2: Convert to fraction form
    401,614.50/602,423.82 = 135,377.31/x
  3. Step 3: Cross multiply
    401,614.50x = 602,423.82 × 135,377.31
  4. Step 4: Simplify right side
    401,614.50x = 81,554,516,231.52
  5. Step 5: Solve for x
    x = 81,554,516,231.52/401,614.50
  6. Step 6: Final answer
    x = 203,066.66

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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.