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Finding the Fourth Proportional to 550,193.42, 825,414.60 and 195,207.86

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Solution

The fourth proportional to 550,193.42, 825,414.60 and 195,207.86 is: 292,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,193.42 : 825,414.60 = 195,207.86 : x
  2. Step 2: Convert to fraction form
    550,193.42/825,414.60 = 195,207.86/x
  3. Step 3: Cross multiply
    550,193.42x = 825,414.60 × 195,207.86
  4. Step 4: Simplify right side
    550,193.42x = 161,127,417,678.76
  5. Step 5: Solve for x
    x = 161,127,417,678.76/550,193.42
  6. Step 6: Final answer
    x = 292,855.95

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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.