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Finding the Fourth Proportional to 290,759.38, 435,693.92 and 195,637.24

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Solution

The fourth proportional to 290,759.38, 435,693.92 and 195,637.24 is: 293,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,759.38 : 435,693.92 = 195,637.24 : x
  2. Step 2: Convert to fraction form
    290,759.38/435,693.92 = 195,637.24/x
  3. Step 3: Cross multiply
    290,759.38x = 435,693.92 × 195,637.24
  4. Step 4: Simplify right side
    290,759.38x = 85,237,955,993.58
  5. Step 5: Solve for x
    x = 85,237,955,993.58/290,759.38
  6. Step 6: Final answer
    x = 293,156.34

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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.