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Finding the Fourth Proportional to 397,059.80, 595,326.41 and 144,310.28

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Solution

The fourth proportional to 397,059.80, 595,326.41 and 144,310.28 is: 216,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,059.80 : 595,326.41 = 144,310.28 : x
  2. Step 2: Convert to fraction form
    397,059.80/595,326.41 = 144,310.28/x
  3. Step 3: Cross multiply
    397,059.80x = 595,326.41 × 144,310.28
  4. Step 4: Simplify right side
    397,059.80x = 85,911,720,918.49
  5. Step 5: Solve for x
    x = 85,911,720,918.49/397,059.80
  6. Step 6: Final answer
    x = 216,369.73

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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.