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Finding the Fourth Proportional to 305,074, 421,002.24 and 185,842

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Solution

The fourth proportional to 305,074, 421,002.24 and 185,842 is: 256,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,074 : 421,002.24 = 185,842 : x
  2. Step 2: Convert to fraction form
    305,074/421,002.24 = 185,842/x
  3. Step 3: Cross multiply
    305,074x = 421,002.24 × 185,842
  4. Step 4: Simplify right side
    305,074x = 78,239,898,286.08
  5. Step 5: Solve for x
    x = 78,239,898,286.08/305,074
  6. Step 6: Final answer
    x = 256,462.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.