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Finding the Fourth Proportional to 400,168.44, 551,972.16 and 256,701.24

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Solution

The fourth proportional to 400,168.44, 551,972.16 and 256,701.24 is: 354,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,168.44 : 551,972.16 = 256,701.24 : x
  2. Step 2: Convert to fraction form
    400,168.44/551,972.16 = 256,701.24/x
  3. Step 3: Cross multiply
    400,168.44x = 551,972.16 × 256,701.24
  4. Step 4: Simplify right side
    400,168.44x = 141,691,937,917.48
  5. Step 5: Solve for x
    x = 141,691,937,917.48/400,168.44
  6. Step 6: Final answer
    x = 354,080.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.