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Finding the Fourth Proportional to 307,517.60, 461,057.70 and 117,904.70

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Solution

The fourth proportional to 307,517.60, 461,057.70 and 117,904.70 is: 176,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,517.60 : 461,057.70 = 117,904.70 : x
  2. Step 2: Convert to fraction form
    307,517.60/461,057.70 = 117,904.70/x
  3. Step 3: Cross multiply
    307,517.60x = 461,057.70 × 117,904.70
  4. Step 4: Simplify right side
    307,517.60x = 54,360,869,801.19
  5. Step 5: Solve for x
    x = 54,360,869,801.19/307,517.60
  6. Step 6: Final answer
    x = 176,773.20

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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.