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Finding the Fourth Proportional to 256,098.56, 384,003.84 and 176,230.40

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Solution

The fourth proportional to 256,098.56, 384,003.84 and 176,230.40 is: 264,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.56 : 384,003.84 = 176,230.40 : x
  2. Step 2: Convert to fraction form
    256,098.56/384,003.84 = 176,230.40/x
  3. Step 3: Cross multiply
    256,098.56x = 384,003.84 × 176,230.40
  4. Step 4: Simplify right side
    256,098.56x = 67,673,150,324.74
  5. Step 5: Solve for x
    x = 67,673,150,324.74/256,098.56
  6. Step 6: Final answer
    x = 264,246.51

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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.