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Finding the Fourth Proportional to 412,955.54, 569,824.08 and 231,660.53

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Solution

The fourth proportional to 412,955.54, 569,824.08 and 231,660.53 is: 319,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,955.54 : 569,824.08 = 231,660.53 : x
  2. Step 2: Convert to fraction form
    412,955.54/569,824.08 = 231,660.53/x
  3. Step 3: Cross multiply
    412,955.54x = 569,824.08 × 231,660.53
  4. Step 4: Simplify right side
    412,955.54x = 132,005,745,530.44
  5. Step 5: Solve for x
    x = 132,005,745,530.44/412,955.54
  6. Step 6: Final answer
    x = 319,660.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.