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Finding the Fourth Proportional to 295,315.20, 442,972.80 and 279,763.20

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Solution

The fourth proportional to 295,315.20, 442,972.80 and 279,763.20 is: 419,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,315.20 : 442,972.80 = 279,763.20 : x
  2. Step 2: Convert to fraction form
    295,315.20/442,972.80 = 279,763.20/x
  3. Step 3: Cross multiply
    295,315.20x = 442,972.80 × 279,763.20
  4. Step 4: Simplify right side
    295,315.20x = 123,927,488,040.96
  5. Step 5: Solve for x
    x = 123,927,488,040.96/295,315.20
  6. Step 6: Final answer
    x = 419,644.80

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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.