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Finding the Fourth Proportional to 332,447.40, 498,658.30 and 110,831.40

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Solution

The fourth proportional to 332,447.40, 498,658.30 and 110,831.40 is: 166,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,447.40 : 498,658.30 = 110,831.40 : x
  2. Step 2: Convert to fraction form
    332,447.40/498,658.30 = 110,831.40/x
  3. Step 3: Cross multiply
    332,447.40x = 498,658.30 × 110,831.40
  4. Step 4: Simplify right side
    332,447.40x = 55,266,997,510.62
  5. Step 5: Solve for x
    x = 55,266,997,510.62/332,447.40
  6. Step 6: Final answer
    x = 166,242.83

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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.