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Finding the Fourth Proportional to 317,159.92, 437,257.28 and 251,965.06

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Solution

The fourth proportional to 317,159.92, 437,257.28 and 251,965.06 is: 347,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,159.92 : 437,257.28 = 251,965.06 : x
  2. Step 2: Convert to fraction form
    317,159.92/437,257.28 = 251,965.06/x
  3. Step 3: Cross multiply
    317,159.92x = 437,257.28 × 251,965.06
  4. Step 4: Simplify right side
    317,159.92x = 110,173,556,790.64
  5. Step 5: Solve for x
    x = 110,173,556,790.64/317,159.92
  6. Step 6: Final answer
    x = 347,375.41

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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.