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Finding the Fourth Proportional to 314,922.40, 472,441.20 and 127,952.80

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Solution

The fourth proportional to 314,922.40, 472,441.20 and 127,952.80 is: 191,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,922.40 : 472,441.20 = 127,952.80 : x
  2. Step 2: Convert to fraction form
    314,922.40/472,441.20 = 127,952.80/x
  3. Step 3: Cross multiply
    314,922.40x = 472,441.20 × 127,952.80
  4. Step 4: Simplify right side
    314,922.40x = 60,450,174,375.36
  5. Step 5: Solve for x
    x = 60,450,174,375.36/314,922.40
  6. Step 6: Final answer
    x = 191,952.60

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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.