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Finding the Fourth Proportional to 297,831.20, 446,830.20 and 120,462.80

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Solution

The fourth proportional to 297,831.20, 446,830.20 and 120,462.80 is: 180,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,831.20 : 446,830.20 = 120,462.80 : x
  2. Step 2: Convert to fraction form
    297,831.20/446,830.20 = 120,462.80/x
  3. Step 3: Cross multiply
    297,831.20x = 446,830.20 × 120,462.80
  4. Step 4: Simplify right side
    297,831.20x = 53,826,417,016.56
  5. Step 5: Solve for x
    x = 53,826,417,016.56/297,831.20
  6. Step 6: Final answer
    x = 180,727.93

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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.