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Finding the Fourth Proportional to 302,982.52, 418,097.06 and 167,009.44

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Solution

The fourth proportional to 302,982.52, 418,097.06 and 167,009.44 is: 230,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,982.52 : 418,097.06 = 167,009.44 : x
  2. Step 2: Convert to fraction form
    302,982.52/418,097.06 = 167,009.44/x
  3. Step 3: Cross multiply
    302,982.52x = 418,097.06 × 167,009.44
  4. Step 4: Simplify right side
    302,982.52x = 69,826,155,856.25
  5. Step 5: Solve for x
    x = 69,826,155,856.25/302,982.52
  6. Step 6: Final answer
    x = 230,462.65

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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.