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Finding the Fourth Proportional to 302,876.64, 417,944.82 and 173,854.56

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Solution

The fourth proportional to 302,876.64, 417,944.82 and 173,854.56 is: 239,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,876.64 : 417,944.82 = 173,854.56 : x
  2. Step 2: Convert to fraction form
    302,876.64/417,944.82 = 173,854.56/x
  3. Step 3: Cross multiply
    302,876.64x = 417,944.82 × 173,854.56
  4. Step 4: Simplify right side
    302,876.64x = 72,661,612,785.38
  5. Step 5: Solve for x
    x = 72,661,612,785.38/302,876.64
  6. Step 6: Final answer
    x = 239,904.98

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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.