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Finding the Fourth Proportional to 401,294.97, 602,004.73 and 135,034.73

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Solution

The fourth proportional to 401,294.97, 602,004.73 and 135,034.73 is: 202,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,294.97 : 602,004.73 = 135,034.73 : x
  2. Step 2: Convert to fraction form
    401,294.97/602,004.73 = 135,034.73/x
  3. Step 3: Cross multiply
    401,294.97x = 602,004.73 × 135,034.73
  4. Step 4: Simplify right side
    401,294.97x = 81,291,546,174.27
  5. Step 5: Solve for x
    x = 81,291,546,174.27/401,294.97
  6. Step 6: Final answer
    x = 202,573.05

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Why These Related Problems?

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