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Finding the Fourth Proportional to 461,273.29, 692,003.33 and 195,033.38

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Solution

The fourth proportional to 461,273.29, 692,003.33 and 195,033.38 is: 292,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,273.29 : 692,003.33 = 195,033.38 : x
  2. Step 2: Convert to fraction form
    461,273.29/692,003.33 = 195,033.38/x
  3. Step 3: Cross multiply
    461,273.29x = 692,003.33 × 195,033.38
  4. Step 4: Simplify right side
    461,273.29x = 134,963,745,448.72
  5. Step 5: Solve for x
    x = 134,963,745,448.72/461,273.29
  6. Step 6: Final answer
    x = 292,589.55

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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.