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Finding the Fourth Proportional to 532,115.20, 797,698.07 and 195,077.14

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Solution

The fourth proportional to 532,115.20, 797,698.07 and 195,077.14 is: 292,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,115.20 : 797,698.07 = 195,077.14 : x
  2. Step 2: Convert to fraction form
    532,115.20/797,698.07 = 195,077.14/x
  3. Step 3: Cross multiply
    532,115.20x = 797,698.07 × 195,077.14
  4. Step 4: Simplify right side
    532,115.20x = 155,612,657,103.73
  5. Step 5: Solve for x
    x = 155,612,657,103.73/532,115.20
  6. Step 6: Final answer
    x = 292,441.67

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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.