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Finding the Fourth Proportional to 299,228.38, 412,927.17 and 163,262.28

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Solution

The fourth proportional to 299,228.38, 412,927.17 and 163,262.28 is: 225,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,228.38 : 412,927.17 = 163,262.28 : x
  2. Step 2: Convert to fraction form
    299,228.38/412,927.17 = 163,262.28/x
  3. Step 3: Cross multiply
    299,228.38x = 412,927.17 × 163,262.28
  4. Step 4: Simplify right side
    299,228.38x = 67,415,432,184.39
  5. Step 5: Solve for x
    x = 67,415,432,184.39/299,228.38
  6. Step 6: Final answer
    x = 225,297.59

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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.