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Finding the Fourth Proportional to 360,178.92, 497,076.84 and 199,065.42

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Solution

The fourth proportional to 360,178.92, 497,076.84 and 199,065.42 is: 274,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,178.92 : 497,076.84 = 199,065.42 : x
  2. Step 2: Convert to fraction form
    360,178.92/497,076.84 = 199,065.42/x
  3. Step 3: Cross multiply
    360,178.92x = 497,076.84 × 199,065.42
  4. Step 4: Simplify right side
    360,178.92x = 98,950,809,926.87
  5. Step 5: Solve for x
    x = 98,950,809,926.87/360,178.92
  6. Step 6: Final answer
    x = 274,726.82

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1.5x scale

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.