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Finding the Fourth Proportional to 326,698.20, 450,892.32 and 199,447.68

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Solution

The fourth proportional to 326,698.20, 450,892.32 and 199,447.68 is: 275,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,698.20 : 450,892.32 = 199,447.68 : x
  2. Step 2: Convert to fraction form
    326,698.20/450,892.32 = 199,447.68/x
  3. Step 3: Cross multiply
    326,698.20x = 450,892.32 × 199,447.68
  4. Step 4: Simplify right side
    326,698.20x = 89,929,427,153.82
  5. Step 5: Solve for x
    x = 89,929,427,153.82/326,698.20
  6. Step 6: Final answer
    x = 275,267.59

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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.