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Finding the Fourth Proportional to 256,232.10, 384,348.15 and 162,920.10

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Solution

The fourth proportional to 256,232.10, 384,348.15 and 162,920.10 is: 244,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,232.10 : 384,348.15 = 162,920.10 : x
  2. Step 2: Convert to fraction form
    256,232.10/384,348.15 = 162,920.10/x
  3. Step 3: Cross multiply
    256,232.10x = 384,348.15 × 162,920.10
  4. Step 4: Simplify right side
    256,232.10x = 62,618,039,032.82
  5. Step 5: Solve for x
    x = 62,618,039,032.82/256,232.10
  6. Step 6: Final answer
    x = 244,380.15

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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.