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Finding the Fourth Proportional to 331,797.80, 497,696.70 and 165,909.80

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Solution

The fourth proportional to 331,797.80, 497,696.70 and 165,909.80 is: 248,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,797.80 : 497,696.70 = 165,909.80 : x
  2. Step 2: Convert to fraction form
    331,797.80/497,696.70 = 165,909.80/x
  3. Step 3: Cross multiply
    331,797.80x = 497,696.70 × 165,909.80
  4. Step 4: Simplify right side
    331,797.80x = 82,572,759,957.66
  5. Step 5: Solve for x
    x = 82,572,759,957.66/331,797.80
  6. Step 6: Final answer
    x = 248,864.70

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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.