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Finding the Fourth Proportional to 360,367.64, 497,264.15 and 199,200.80

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Solution

The fourth proportional to 360,367.64, 497,264.15 and 199,200.80 is: 274,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,367.64 : 497,264.15 = 199,200.80 : x
  2. Step 2: Convert to fraction form
    360,367.64/497,264.15 = 199,200.80/x
  3. Step 3: Cross multiply
    360,367.64x = 497,264.15 × 199,200.80
  4. Step 4: Simplify right side
    360,367.64x = 99,055,414,503.00
  5. Step 5: Solve for x
    x = 99,055,414,503.00/360,367.64
  6. Step 6: Final answer
    x = 274,873.23

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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.