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Finding the Fourth Proportional to 256,301.46, 384,326.46 and 149,712.18

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Solution

The fourth proportional to 256,301.46, 384,326.46 and 149,712.18 is: 224,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,301.46 : 384,326.46 = 149,712.18 : x
  2. Step 2: Convert to fraction form
    256,301.46/384,326.46 = 149,712.18/x
  3. Step 3: Cross multiply
    256,301.46x = 384,326.46 × 149,712.18
  4. Step 4: Simplify right side
    256,301.46x = 57,538,352,158.28
  5. Step 5: Solve for x
    x = 57,538,352,158.28/256,301.46
  6. Step 6: Final answer
    x = 224,494.83

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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.