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Finding the Fourth Proportional to 303,564.38, 418,907.84 and 167,595.48

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Solution

The fourth proportional to 303,564.38, 418,907.84 and 167,595.48 is: 231,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,564.38 : 418,907.84 = 167,595.48 : x
  2. Step 2: Convert to fraction form
    303,564.38/418,907.84 = 167,595.48/x
  3. Step 3: Cross multiply
    303,564.38x = 418,907.84 × 167,595.48
  4. Step 4: Simplify right side
    303,564.38x = 70,207,059,682.59
  5. Step 5: Solve for x
    x = 70,207,059,682.59/303,564.38
  6. Step 6: Final answer
    x = 231,275.69

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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.