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Finding the Fourth Proportional to 461,193.60, 691,406.40 and 195,158.40

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Solution

The fourth proportional to 461,193.60, 691,406.40 and 195,158.40 is: 292,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,193.60 : 691,406.40 = 195,158.40 : x
  2. Step 2: Convert to fraction form
    461,193.60/691,406.40 = 195,158.40/x
  3. Step 3: Cross multiply
    461,193.60x = 691,406.40 × 195,158.40
  4. Step 4: Simplify right side
    461,193.60x = 134,933,766,773.76
  5. Step 5: Solve for x
    x = 134,933,766,773.76/461,193.60
  6. Step 6: Final answer
    x = 292,575.11

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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.