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Finding the Fourth Proportional to 294,242.62, 406,096.17 and 171,775.16

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Solution

The fourth proportional to 294,242.62, 406,096.17 and 171,775.16 is: 237,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.62 : 406,096.17 = 171,775.16 : x
  2. Step 2: Convert to fraction form
    294,242.62/406,096.17 = 171,775.16/x
  3. Step 3: Cross multiply
    294,242.62x = 406,096.17 × 171,775.16
  4. Step 4: Simplify right side
    294,242.62x = 69,757,234,577.14
  5. Step 5: Solve for x
    x = 69,757,234,577.14/294,242.62
  6. Step 6: Final answer
    x = 237,073.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.