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Finding the Fourth Proportional to 314,895.20, 472,342.80 and 195,047.60

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Solution

The fourth proportional to 314,895.20, 472,342.80 and 195,047.60 is: 292,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,895.20 : 472,342.80 = 195,047.60 : x
  2. Step 2: Convert to fraction form
    314,895.20/472,342.80 = 195,047.60/x
  3. Step 3: Cross multiply
    314,895.20x = 472,342.80 × 195,047.60
  4. Step 4: Simplify right side
    314,895.20x = 92,129,329,517.28
  5. Step 5: Solve for x
    x = 92,129,329,517.28/314,895.20
  6. Step 6: Final answer
    x = 292,571.40

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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.