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Finding the Fourth Proportional to 295,143.65, 407,296.35 and 167,819.25

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Solution

The fourth proportional to 295,143.65, 407,296.35 and 167,819.25 is: 231,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,143.65 : 407,296.35 = 167,819.25 : x
  2. Step 2: Convert to fraction form
    295,143.65/407,296.35 = 167,819.25/x
  3. Step 3: Cross multiply
    295,143.65x = 407,296.35 × 167,819.25
  4. Step 4: Simplify right side
    295,143.65x = 68,352,167,984.74
  5. Step 5: Solve for x
    x = 68,352,167,984.74/295,143.65
  6. Step 6: Final answer
    x = 231,589.50

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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.