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Finding the Fourth Proportional to 256,276.40, 384,414.60 and 185,417.60

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Solution

The fourth proportional to 256,276.40, 384,414.60 and 185,417.60 is: 278,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,276.40 : 384,414.60 = 185,417.60 : x
  2. Step 2: Convert to fraction form
    256,276.40/384,414.60 = 185,417.60/x
  3. Step 3: Cross multiply
    256,276.40x = 384,414.60 × 185,417.60
  4. Step 4: Simplify right side
    256,276.40x = 71,277,232,536.96
  5. Step 5: Solve for x
    x = 71,277,232,536.96/256,276.40
  6. Step 6: Final answer
    x = 278,126.40

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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.