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Finding the Fourth Proportional to 307,065.92, 460,741.55 and 117,463.61

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Solution

The fourth proportional to 307,065.92, 460,741.55 and 117,463.61 is: 176,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,065.92 : 460,741.55 = 117,463.61 : x
  2. Step 2: Convert to fraction form
    307,065.92/460,741.55 = 117,463.61/x
  3. Step 3: Cross multiply
    307,065.92x = 460,741.55 × 117,463.61
  4. Step 4: Simplify right side
    307,065.92x = 54,120,366,304.53
  5. Step 5: Solve for x
    x = 54,120,366,304.53/307,065.92
  6. Step 6: Final answer
    x = 176,249.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.