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Finding the Fourth Proportional to 315,959.14, 436,023.74 and 172,719.14

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Solution

The fourth proportional to 315,959.14, 436,023.74 and 172,719.14 is: 238,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,959.14 : 436,023.74 = 172,719.14 : x
  2. Step 2: Convert to fraction form
    315,959.14/436,023.74 = 172,719.14/x
  3. Step 3: Cross multiply
    315,959.14x = 436,023.74 × 172,719.14
  4. Step 4: Simplify right side
    315,959.14x = 75,309,645,392.38
  5. Step 5: Solve for x
    x = 75,309,645,392.38/315,959.14
  6. Step 6: Final answer
    x = 238,352.48

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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.