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Finding the Fourth Proportional to 435,306.82, 652,886.31 and 198,593.86

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Solution

The fourth proportional to 435,306.82, 652,886.31 and 198,593.86 is: 297,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,306.82 : 652,886.31 = 198,593.86 : x
  2. Step 2: Convert to fraction form
    435,306.82/652,886.31 = 198,593.86/x
  3. Step 3: Cross multiply
    435,306.82x = 652,886.31 × 198,593.86
  4. Step 4: Simplify right side
    435,306.82x = 129,659,212,444.06
  5. Step 5: Solve for x
    x = 129,659,212,444.06/435,306.82
  6. Step 6: Final answer
    x = 297,857.07

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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.