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Finding the Fourth Proportional to 293,470.40, 440,378.40 and 106,500.80

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Solution

The fourth proportional to 293,470.40, 440,378.40 and 106,500.80 is: 159,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,470.40 : 440,378.40 = 106,500.80 : x
  2. Step 2: Convert to fraction form
    293,470.40/440,378.40 = 106,500.80/x
  3. Step 3: Cross multiply
    293,470.40x = 440,378.40 × 106,500.80
  4. Step 4: Simplify right side
    293,470.40x = 46,900,651,902.72
  5. Step 5: Solve for x
    x = 46,900,651,902.72/293,470.40
  6. Step 6: Final answer
    x = 159,813.91

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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.