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Finding the Fourth Proportional to 392,741.80, 589,112.70 and 143,391.40

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Solution

The fourth proportional to 392,741.80, 589,112.70 and 143,391.40 is: 215,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,741.80 : 589,112.70 = 143,391.40 : x
  2. Step 2: Convert to fraction form
    392,741.80/589,112.70 = 143,391.40/x
  3. Step 3: Cross multiply
    392,741.80x = 589,112.70 × 143,391.40
  4. Step 4: Simplify right side
    392,741.80x = 84,473,694,810.78
  5. Step 5: Solve for x
    x = 84,473,694,810.78/392,741.80
  6. Step 6: Final answer
    x = 215,087.10

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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.