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Finding the Fourth Proportional to 378,294.16, 567,576.72 and 162,062.16

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Solution

The fourth proportional to 378,294.16, 567,576.72 and 162,062.16 is: 243,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,294.16 : 567,576.72 = 162,062.16 : x
  2. Step 2: Convert to fraction form
    378,294.16/567,576.72 = 162,062.16/x
  3. Step 3: Cross multiply
    378,294.16x = 567,576.72 × 162,062.16
  4. Step 4: Simplify right side
    378,294.16x = 91,982,709,208.92
  5. Step 5: Solve for x
    x = 91,982,709,208.92/378,294.16
  6. Step 6: Final answer
    x = 243,151.28

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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.