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Finding the Fourth Proportional to 315,882.89, 435,917.34 and 172,642.89

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Solution

The fourth proportional to 315,882.89, 435,917.34 and 172,642.89 is: 238,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,882.89 : 435,917.34 = 172,642.89 : x
  2. Step 2: Convert to fraction form
    315,882.89/435,917.34 = 172,642.89/x
  3. Step 3: Cross multiply
    315,882.89x = 435,917.34 × 172,642.89
  4. Step 4: Simplify right side
    315,882.89x = 75,258,029,378.71
  5. Step 5: Solve for x
    x = 75,258,029,378.71/315,882.89
  6. Step 6: Final answer
    x = 238,246.62

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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.