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Finding the Fourth Proportional to 256,414.40, 384,103.20 and 172,433.60

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Solution

The fourth proportional to 256,414.40, 384,103.20 and 172,433.60 is: 258,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,414.40 : 384,103.20 = 172,433.60 : x
  2. Step 2: Convert to fraction form
    256,414.40/384,103.20 = 172,433.60/x
  3. Step 3: Cross multiply
    256,414.40x = 384,103.20 × 172,433.60
  4. Step 4: Simplify right side
    256,414.40x = 66,232,297,547.52
  5. Step 5: Solve for x
    x = 66,232,297,547.52/256,414.40
  6. Step 6: Final answer
    x = 258,301.79

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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.