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Finding the Fourth Proportional to 256,337.46, 384,380.46 and 149,748.18

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Solution

The fourth proportional to 256,337.46, 384,380.46 and 149,748.18 is: 224,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,337.46 : 384,380.46 = 149,748.18 : x
  2. Step 2: Convert to fraction form
    256,337.46/384,380.46 = 149,748.18/x
  3. Step 3: Cross multiply
    256,337.46x = 384,380.46 × 149,748.18
  4. Step 4: Simplify right side
    256,337.46x = 57,560,274,312.56
  5. Step 5: Solve for x
    x = 57,560,274,312.56/256,337.46
  6. Step 6: Final answer
    x = 224,548.82

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1.5x scale

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.