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Finding the Fourth Proportional to 256,357.71, 383,789.34 and 149,414.63

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Solution

The fourth proportional to 256,357.71, 383,789.34 and 149,414.63 is: 223,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,357.71 : 383,789.34 = 149,414.63 : x
  2. Step 2: Convert to fraction form
    256,357.71/383,789.34 = 149,414.63/x
  3. Step 3: Cross multiply
    256,357.71x = 383,789.34 × 149,414.63
  4. Step 4: Simplify right side
    256,357.71x = 57,343,740,315.10
  5. Step 5: Solve for x
    x = 57,343,740,315.10/256,357.71
  6. Step 6: Final answer
    x = 223,686.43

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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.