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Finding the Fourth Proportional to 232,114.64, 318,232.16 and 227,915.60

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Solution

The fourth proportional to 232,114.64, 318,232.16 and 227,915.60 is: 312,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,114.64 : 318,232.16 = 227,915.60 : x
  2. Step 2: Convert to fraction form
    232,114.64/318,232.16 = 227,915.60/x
  3. Step 3: Cross multiply
    232,114.64x = 318,232.16 × 227,915.60
  4. Step 4: Simplify right side
    232,114.64x = 72,530,073,685.70
  5. Step 5: Solve for x
    x = 72,530,073,685.70/232,114.64
  6. Step 6: Final answer
    x = 312,475.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.