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Finding the Fourth Proportional to 409,256.16, 564,754.80 and 227,958.24

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Solution

The fourth proportional to 409,256.16, 564,754.80 and 227,958.24 is: 314,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,256.16 : 564,754.80 = 227,958.24 : x
  2. Step 2: Convert to fraction form
    409,256.16/564,754.80 = 227,958.24/x
  3. Step 3: Cross multiply
    409,256.16x = 564,754.80 × 227,958.24
  4. Step 4: Simplify right side
    409,256.16x = 128,740,510,239.55
  5. Step 5: Solve for x
    x = 128,740,510,239.55/409,256.16
  6. Step 6: Final answer
    x = 314,571.95

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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.