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Finding the Fourth Proportional to 392,400, 588,605.58 and 111,917.34

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Solution

The fourth proportional to 392,400, 588,605.58 and 111,917.34 is: 167,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,400 : 588,605.58 = 111,917.34 : x
  2. Step 2: Convert to fraction form
    392,400/588,605.58 = 111,917.34/x
  3. Step 3: Cross multiply
    392,400x = 588,605.58 × 111,917.34
  4. Step 4: Simplify right side
    392,400x = 65,875,170,822.76
  5. Step 5: Solve for x
    x = 65,875,170,822.76/392,400
  6. Step 6: Final answer
    x = 167,877.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.