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Finding the Fourth Proportional to 299,646.50, 413,513.58 and 163,682.33

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Solution

The fourth proportional to 299,646.50, 413,513.58 and 163,682.33 is: 225,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,646.50 : 413,513.58 = 163,682.33 : x
  2. Step 2: Convert to fraction form
    299,646.50/413,513.58 = 163,682.33/x
  3. Step 3: Cross multiply
    299,646.50x = 413,513.58 × 163,682.33
  4. Step 4: Simplify right side
    299,646.50x = 67,684,864,193.47
  5. Step 5: Solve for x
    x = 67,684,864,193.47/299,646.50
  6. Step 6: Final answer
    x = 225,882.38

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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.