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Finding the Fourth Proportional to 299,281.62, 413,017.42 and 163,324.34

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Solution

The fourth proportional to 299,281.62, 413,017.42 and 163,324.34 is: 225,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,281.62 : 413,017.42 = 163,324.34 : x
  2. Step 2: Convert to fraction form
    299,281.62/413,017.42 = 163,324.34/x
  3. Step 3: Cross multiply
    299,281.62x = 413,017.42 × 163,324.34
  4. Step 4: Simplify right side
    299,281.62x = 67,455,797,262.78
  5. Step 5: Solve for x
    x = 67,455,797,262.78/299,281.62
  6. Step 6: Final answer
    x = 225,392.38

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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.