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Finding the Fourth Proportional to 360,398.83, 497,324.19 and 199,255.81

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Solution

The fourth proportional to 360,398.83, 497,324.19 and 199,255.81 is: 274,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,398.83 : 497,324.19 = 199,255.81 : x
  2. Step 2: Convert to fraction form
    360,398.83/497,324.19 = 199,255.81/x
  3. Step 3: Cross multiply
    360,398.83x = 497,324.19 × 199,255.81
  4. Step 4: Simplify right side
    360,398.83x = 99,094,734,311.04
  5. Step 5: Solve for x
    x = 99,094,734,311.04/360,398.83
  6. Step 6: Final answer
    x = 274,958.53

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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.