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Finding the Fourth Proportional to 400,938.92, 601,335.73 and 161,043.13

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Solution

The fourth proportional to 400,938.92, 601,335.73 and 161,043.13 is: 241,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,938.92 : 601,335.73 = 161,043.13 : x
  2. Step 2: Convert to fraction form
    400,938.92/601,335.73 = 161,043.13/x
  3. Step 3: Cross multiply
    400,938.92x = 601,335.73 × 161,043.13
  4. Step 4: Simplify right side
    400,938.92x = 96,840,988,489.10
  5. Step 5: Solve for x
    x = 96,840,988,489.10/400,938.92
  6. Step 6: Final answer
    x = 241,535.51

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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.