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Finding the Fourth Proportional to 439,604.93, 659,400.23 and 140,081.46

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Solution

The fourth proportional to 439,604.93, 659,400.23 and 140,081.46 is: 210,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,604.93 : 659,400.23 = 140,081.46 : x
  2. Step 2: Convert to fraction form
    439,604.93/659,400.23 = 140,081.46/x
  3. Step 3: Cross multiply
    439,604.93x = 659,400.23 × 140,081.46
  4. Step 4: Simplify right side
    439,604.93x = 92,369,746,242.33
  5. Step 5: Solve for x
    x = 92,369,746,242.33/439,604.93
  6. Step 6: Final answer
    x = 210,119.91

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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.