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Finding the Fourth Proportional to 257,506.44, 386,185.85 and 77,609.29

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Solution

The fourth proportional to 257,506.44, 386,185.85 and 77,609.29 is: 116,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,506.44 : 386,185.85 = 77,609.29 : x
  2. Step 2: Convert to fraction form
    257,506.44/386,185.85 = 77,609.29/x
  3. Step 3: Cross multiply
    257,506.44x = 386,185.85 × 77,609.29
  4. Step 4: Simplify right side
    257,506.44x = 29,971,609,506.44
  5. Step 5: Solve for x
    x = 29,971,609,506.44/257,506.44
  6. Step 6: Final answer
    x = 116,391.69

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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.