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Finding the Fourth Proportional to 256,711.68, 384,834.24 and 116,393.76

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Solution

The fourth proportional to 256,711.68, 384,834.24 and 116,393.76 is: 174,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,711.68 : 384,834.24 = 116,393.76 : x
  2. Step 2: Convert to fraction form
    256,711.68/384,834.24 = 116,393.76/x
  3. Step 3: Cross multiply
    256,711.68x = 384,834.24 × 116,393.76
  4. Step 4: Simplify right side
    256,711.68x = 44,792,304,170.34
  5. Step 5: Solve for x
    x = 44,792,304,170.34/256,711.68
  6. Step 6: Final answer
    x = 174,484.87

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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.