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Finding the Fourth Proportional to 364,517.40, 546,713.09 and 164,791.38

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Solution

The fourth proportional to 364,517.40, 546,713.09 and 164,791.38 is: 247,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,517.40 : 546,713.09 = 164,791.38 : x
  2. Step 2: Convert to fraction form
    364,517.40/546,713.09 = 164,791.38/x
  3. Step 3: Cross multiply
    364,517.40x = 546,713.09 × 164,791.38
  4. Step 4: Simplify right side
    364,517.40x = 90,093,604,565.16
  5. Step 5: Solve for x
    x = 90,093,604,565.16/364,517.40
  6. Step 6: Final answer
    x = 247,158.58

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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.