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Finding the Fourth Proportional to 294,525.80, 441,788.70 and 144,789.20

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Solution

The fourth proportional to 294,525.80, 441,788.70 and 144,789.20 is: 217,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,525.80 : 441,788.70 = 144,789.20 : x
  2. Step 2: Convert to fraction form
    294,525.80/441,788.70 = 144,789.20/x
  3. Step 3: Cross multiply
    294,525.80x = 441,788.70 × 144,789.20
  4. Step 4: Simplify right side
    294,525.80x = 63,966,232,442.04
  5. Step 5: Solve for x
    x = 63,966,232,442.04/294,525.80
  6. Step 6: Final answer
    x = 217,183.80

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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.