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Finding the Fourth Proportional to 305,934.81, 422,165.28 and 176,881.56

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Solution

The fourth proportional to 305,934.81, 422,165.28 and 176,881.56 is: 244,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,934.81 : 422,165.28 = 176,881.56 : x
  2. Step 2: Convert to fraction form
    305,934.81/422,165.28 = 176,881.56/x
  3. Step 3: Cross multiply
    305,934.81x = 422,165.28 × 176,881.56
  4. Step 4: Simplify right side
    305,934.81x = 74,673,254,337.89
  5. Step 5: Solve for x
    x = 74,673,254,337.89/305,934.81
  6. Step 6: Final answer
    x = 244,082.24

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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.