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Finding the Fourth Proportional to 305,062.94, 420,844.47 and 191,948.06

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Solution

The fourth proportional to 305,062.94, 420,844.47 and 191,948.06 is: 264,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,062.94 : 420,844.47 = 191,948.06 : x
  2. Step 2: Convert to fraction form
    305,062.94/420,844.47 = 191,948.06/x
  3. Step 3: Cross multiply
    305,062.94x = 420,844.47 × 191,948.06
  4. Step 4: Simplify right side
    305,062.94x = 80,780,279,578.23
  5. Step 5: Solve for x
    x = 80,780,279,578.23/305,062.94
  6. Step 6: Final answer
    x = 264,798.73

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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.