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Finding the Fourth Proportional to 307,306.64, 460,921.08 and 120,449.36

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Solution

The fourth proportional to 307,306.64, 460,921.08 and 120,449.36 is: 180,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,306.64 : 460,921.08 = 120,449.36 : x
  2. Step 2: Convert to fraction form
    307,306.64/460,921.08 = 120,449.36/x
  3. Step 3: Cross multiply
    307,306.64x = 460,921.08 × 120,449.36
  4. Step 4: Simplify right side
    307,306.64x = 55,517,649,096.51
  5. Step 5: Solve for x
    x = 55,517,649,096.51/307,306.64
  6. Step 6: Final answer
    x = 180,658.80

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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.