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Finding the Fourth Proportional to 299,782.20, 413,700.51 and 163,816.15

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Solution

The fourth proportional to 299,782.20, 413,700.51 and 163,816.15 is: 226,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.20 : 413,700.51 = 163,816.15 : x
  2. Step 2: Convert to fraction form
    299,782.20/413,700.51 = 163,816.15/x
  3. Step 3: Cross multiply
    299,782.20x = 413,700.51 × 163,816.15
  4. Step 4: Simplify right side
    299,782.20x = 67,770,824,801.24
  5. Step 5: Solve for x
    x = 67,770,824,801.24/299,782.20
  6. Step 6: Final answer
    x = 226,066.87

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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.