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Finding the Fourth Proportional to 378,020.48, 567,033.20 and 97,540.16

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Solution

The fourth proportional to 378,020.48, 567,033.20 and 97,540.16 is: 146,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,020.48 : 567,033.20 = 97,540.16 : x
  2. Step 2: Convert to fraction form
    378,020.48/567,033.20 = 97,540.16/x
  3. Step 3: Cross multiply
    378,020.48x = 567,033.20 × 97,540.16
  4. Step 4: Simplify right side
    378,020.48x = 55,308,509,053.31
  5. Step 5: Solve for x
    x = 55,308,509,053.31/378,020.48
  6. Step 6: Final answer
    x = 146,310.88

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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.