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Finding the Fourth Proportional to 314,930.40, 472,453.20 and 127,960.80

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Solution

The fourth proportional to 314,930.40, 472,453.20 and 127,960.80 is: 191,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930.40 : 472,453.20 = 127,960.80 : x
  2. Step 2: Convert to fraction form
    314,930.40/472,453.20 = 127,960.80/x
  3. Step 3: Cross multiply
    314,930.40x = 472,453.20 × 127,960.80
  4. Step 4: Simplify right side
    314,930.40x = 60,455,489,434.56
  5. Step 5: Solve for x
    x = 60,455,489,434.56/314,930.40
  6. Step 6: Final answer
    x = 191,964.60

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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.