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Finding the Fourth Proportional to 299,506.52, 413,315.82 and 163,540.04

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Solution

The fourth proportional to 299,506.52, 413,315.82 and 163,540.04 is: 225,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,506.52 : 413,315.82 = 163,540.04 : x
  2. Step 2: Convert to fraction form
    299,506.52/413,315.82 = 163,540.04/x
  3. Step 3: Cross multiply
    299,506.52x = 413,315.82 × 163,540.04
  4. Step 4: Simplify right side
    299,506.52x = 67,593,685,735.43
  5. Step 5: Solve for x
    x = 67,593,685,735.43/299,506.52
  6. Step 6: Final answer
    x = 225,683.52

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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.