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Finding the Fourth Proportional to 534,338.65, 801,441.85 and 197,371.84

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Solution

The fourth proportional to 534,338.65, 801,441.85 and 197,371.84 is: 296,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,338.65 : 801,441.85 = 197,371.84 : x
  2. Step 2: Convert to fraction form
    534,338.65/801,441.85 = 197,371.84/x
  3. Step 3: Cross multiply
    534,338.65x = 801,441.85 × 197,371.84
  4. Step 4: Simplify right side
    534,338.65x = 158,182,052,587.50
  5. Step 5: Solve for x
    x = 158,182,052,587.50/534,338.65
  6. Step 6: Final answer
    x = 296,033.34

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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.