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Finding the Fourth Proportional to 302,560.78, 417,589.92 and 175,236.38

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Solution

The fourth proportional to 302,560.78, 417,589.92 and 175,236.38 is: 241,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,560.78 : 417,589.92 = 175,236.38 : x
  2. Step 2: Convert to fraction form
    302,560.78/417,589.92 = 175,236.38/x
  3. Step 3: Cross multiply
    302,560.78x = 417,589.92 × 175,236.38
  4. Step 4: Simplify right side
    302,560.78x = 73,176,945,905.29
  5. Step 5: Solve for x
    x = 73,176,945,905.29/302,560.78
  6. Step 6: Final answer
    x = 241,858.66

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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.