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Finding the Fourth Proportional to 294,304.53, 406,132.61 and 171,820.38

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Solution

The fourth proportional to 294,304.53, 406,132.61 and 171,820.38 is: 237,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,304.53 : 406,132.61 = 171,820.38 : x
  2. Step 2: Convert to fraction form
    294,304.53/406,132.61 = 171,820.38/x
  3. Step 3: Cross multiply
    294,304.53x = 406,132.61 × 171,820.38
  4. Step 4: Simplify right side
    294,304.53x = 69,781,858,521.49
  5. Step 5: Solve for x
    x = 69,781,858,521.49/294,304.53
  6. Step 6: Final answer
    x = 237,107.66

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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.