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Finding the Fourth Proportional to 294,511.80, 441,767.70 and 144,775.20

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Solution

The fourth proportional to 294,511.80, 441,767.70 and 144,775.20 is: 217,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,511.80 : 441,767.70 = 144,775.20 : x
  2. Step 2: Convert to fraction form
    294,511.80/441,767.70 = 144,775.20/x
  3. Step 3: Cross multiply
    294,511.80x = 441,767.70 × 144,775.20
  4. Step 4: Simplify right side
    294,511.80x = 63,957,007,121.04
  5. Step 5: Solve for x
    x = 63,957,007,121.04/294,511.80
  6. Step 6: Final answer
    x = 217,162.80

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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.