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Finding the Fourth Proportional to 307,438.74, 460,842.21 and 117,847.71

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Solution

The fourth proportional to 307,438.74, 460,842.21 and 117,847.71 is: 176,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,438.74 : 460,842.21 = 117,847.71 : x
  2. Step 2: Convert to fraction form
    307,438.74/460,842.21 = 117,847.71/x
  3. Step 3: Cross multiply
    307,438.74x = 460,842.21 × 117,847.71
  4. Step 4: Simplify right side
    307,438.74x = 54,309,199,119.84
  5. Step 5: Solve for x
    x = 54,309,199,119.84/307,438.74
  6. Step 6: Final answer
    x = 176,650.47

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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.