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Finding the Fourth Proportional to 332,800.14, 498,692.24 and 197,597.97

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Solution

The fourth proportional to 332,800.14, 498,692.24 and 197,597.97 is: 296,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,800.14 : 498,692.24 = 197,597.97 : x
  2. Step 2: Convert to fraction form
    332,800.14/498,692.24 = 197,597.97/x
  3. Step 3: Cross multiply
    332,800.14x = 498,692.24 × 197,597.97
  4. Step 4: Simplify right side
    332,800.14x = 98,540,574,278.75
  5. Step 5: Solve for x
    x = 98,540,574,278.75/332,800.14
  6. Step 6: Final answer
    x = 296,095.35

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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.