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Finding the Fourth Proportional to 360,256.80, 497,180.12 and 199,108.38

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Solution

The fourth proportional to 360,256.80, 497,180.12 and 199,108.38 is: 274,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,256.80 : 497,180.12 = 199,108.38 : x
  2. Step 2: Convert to fraction form
    360,256.80/497,180.12 = 199,108.38/x
  3. Step 3: Cross multiply
    360,256.80x = 497,180.12 × 199,108.38
  4. Step 4: Simplify right side
    360,256.80x = 98,992,728,261.41
  5. Step 5: Solve for x
    x = 98,992,728,261.41/360,256.80
  6. Step 6: Final answer
    x = 274,783.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.