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Finding the Fourth Proportional to 401,322.69, 602,046.23 and 135,062.46

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Solution

The fourth proportional to 401,322.69, 602,046.23 and 135,062.46 is: 202,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,322.69 : 602,046.23 = 135,062.46 : x
  2. Step 2: Convert to fraction form
    401,322.69/602,046.23 = 135,062.46/x
  3. Step 3: Cross multiply
    401,322.69x = 602,046.23 × 135,062.46
  4. Step 4: Simplify right side
    401,322.69x = 81,313,844,182.21
  5. Step 5: Solve for x
    x = 81,313,844,182.21/401,322.69
  6. Step 6: Final answer
    x = 202,614.62

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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.