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Finding the Fourth Proportional to 331,480.80, 497,221.20 and 294,739.20

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Solution

The fourth proportional to 331,480.80, 497,221.20 and 294,739.20 is: 442,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,480.80 : 497,221.20 = 294,739.20 : x
  2. Step 2: Convert to fraction form
    331,480.80/497,221.20 = 294,739.20/x
  3. Step 3: Cross multiply
    331,480.80x = 497,221.20 × 294,739.20
  4. Step 4: Simplify right side
    331,480.80x = 146,550,578,711.04
  5. Step 5: Solve for x
    x = 146,550,578,711.04/331,480.80
  6. Step 6: Final answer
    x = 442,108.80

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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.