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Finding the Fourth Proportional to 294,242.49, 406,096.00 and 171,775.04

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Solution

The fourth proportional to 294,242.49, 406,096.00 and 171,775.04 is: 237,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.49 : 406,096.00 = 171,775.04 : x
  2. Step 2: Convert to fraction form
    294,242.49/406,096.00 = 171,775.04/x
  3. Step 3: Cross multiply
    294,242.49x = 406,096.00 × 171,775.04
  4. Step 4: Simplify right side
    294,242.49x = 69,757,154,183.92
  5. Step 5: Solve for x
    x = 69,757,154,183.92/294,242.49
  6. Step 6: Final answer
    x = 237,073.69

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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.