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Finding the Fourth Proportional to 408,812.67, 564,177.78 and 227,532.24

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Solution

The fourth proportional to 408,812.67, 564,177.78 and 227,532.24 is: 314,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,812.67 : 564,177.78 = 227,532.24 : x
  2. Step 2: Convert to fraction form
    408,812.67/564,177.78 = 227,532.24/x
  3. Step 3: Cross multiply
    408,812.67x = 564,177.78 × 227,532.24
  4. Step 4: Simplify right side
    408,812.67x = 128,368,634,041.63
  5. Step 5: Solve for x
    x = 128,368,634,041.63/408,812.67
  6. Step 6: Final answer
    x = 314,003.56

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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.