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Finding the Fourth Proportional to 360,665.50, 497,733.04 and 199,517.77

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Solution

The fourth proportional to 360,665.50, 497,733.04 and 199,517.77 is: 275,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,665.50 : 497,733.04 = 199,517.77 : x
  2. Step 2: Convert to fraction form
    360,665.50/497,733.04 = 199,517.77/x
  3. Step 3: Cross multiply
    360,665.50x = 497,733.04 × 199,517.77
  4. Step 4: Simplify right side
    360,665.50x = 99,306,586,196.12
  5. Step 5: Solve for x
    x = 99,306,586,196.12/360,665.50
  6. Step 6: Final answer
    x = 275,342.63

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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.