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Finding the Fourth Proportional to 360,462.24, 497,394.48 and 199,295.52

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Solution

The fourth proportional to 360,462.24, 497,394.48 and 199,295.52 is: 275,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,462.24 : 497,394.48 = 199,295.52 : x
  2. Step 2: Convert to fraction form
    360,462.24/497,394.48 = 199,295.52/x
  3. Step 3: Cross multiply
    360,462.24x = 497,394.48 × 199,295.52
  4. Step 4: Simplify right side
    360,462.24x = 99,128,491,536.73
  5. Step 5: Solve for x
    x = 99,128,491,536.73/360,462.24
  6. Step 6: Final answer
    x = 275,003.82

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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.