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Finding the Fourth Proportional to 299,751.12, 413,658.36 and 163,783.44

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Solution

The fourth proportional to 299,751.12, 413,658.36 and 163,783.44 is: 226,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,751.12 : 413,658.36 = 163,783.44 : x
  2. Step 2: Convert to fraction form
    299,751.12/413,658.36 = 163,783.44/x
  3. Step 3: Cross multiply
    299,751.12x = 413,658.36 × 163,783.44
  4. Step 4: Simplify right side
    299,751.12x = 67,750,389,185.56
  5. Step 5: Solve for x
    x = 67,750,389,185.56/299,751.12
  6. Step 6: Final answer
    x = 226,022.14

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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.