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Finding the Fourth Proportional to 399,854.64, 551,745.96 and 256,808.43

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Solution

The fourth proportional to 399,854.64, 551,745.96 and 256,808.43 is: 354,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,854.64 : 551,745.96 = 256,808.43 : x
  2. Step 2: Convert to fraction form
    399,854.64/551,745.96 = 256,808.43/x
  3. Step 3: Cross multiply
    399,854.64x = 551,745.96 × 256,808.43
  4. Step 4: Simplify right side
    399,854.64x = 141,693,013,746.44
  5. Step 5: Solve for x
    x = 141,693,013,746.44/399,854.64
  6. Step 6: Final answer
    x = 354,361.31

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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.