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Finding the Fourth Proportional to 294,557.80, 441,836.70 and 144,821.20

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Solution

The fourth proportional to 294,557.80, 441,836.70 and 144,821.20 is: 217,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,557.80 : 441,836.70 = 144,821.20 : x
  2. Step 2: Convert to fraction form
    294,557.80/441,836.70 = 144,821.20/x
  3. Step 3: Cross multiply
    294,557.80x = 441,836.70 × 144,821.20
  4. Step 4: Simplify right side
    294,557.80x = 63,987,321,098.04
  5. Step 5: Solve for x
    x = 63,987,321,098.04/294,557.80
  6. Step 6: Final answer
    x = 217,231.80

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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.