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Finding the Fourth Proportional to 360,447.12, 497,396.94 and 199,292.48

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Solution

The fourth proportional to 360,447.12, 497,396.94 and 199,292.48 is: 275,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,447.12 : 497,396.94 = 199,292.48 : x
  2. Step 2: Convert to fraction form
    360,447.12/497,396.94 = 199,292.48/x
  3. Step 3: Cross multiply
    360,447.12x = 497,396.94 × 199,292.48
  4. Step 4: Simplify right side
    360,447.12x = 99,127,469,717.01
  5. Step 5: Solve for x
    x = 99,127,469,717.01/360,447.12
  6. Step 6: Final answer
    x = 275,012.52

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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.