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Finding the Fourth Proportional to 314,910.40, 472,423.20 and 127,940.80

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Solution

The fourth proportional to 314,910.40, 472,423.20 and 127,940.80 is: 191,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,910.40 : 472,423.20 = 127,940.80 : x
  2. Step 2: Convert to fraction form
    314,910.40/472,423.20 = 127,940.80/x
  3. Step 3: Cross multiply
    314,910.40x = 472,423.20 × 127,940.80
  4. Step 4: Simplify right side
    314,910.40x = 60,442,202,146.56
  5. Step 5: Solve for x
    x = 60,442,202,146.56/314,910.40
  6. Step 6: Final answer
    x = 191,934.60

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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.