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Finding the Fourth Proportional to 257,857.40, 386,786.10 and 173,876.60

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Solution

The fourth proportional to 257,857.40, 386,786.10 and 173,876.60 is: 260,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,857.40 : 386,786.10 = 173,876.60 : x
  2. Step 2: Convert to fraction form
    257,857.40/386,786.10 = 173,876.60/x
  3. Step 3: Cross multiply
    257,857.40x = 386,786.10 × 173,876.60
  4. Step 4: Simplify right side
    257,857.40x = 67,253,051,995.26
  5. Step 5: Solve for x
    x = 67,253,051,995.26/257,857.40
  6. Step 6: Final answer
    x = 260,814.90

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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.