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Finding the Fourth Proportional to 299,033.76, 412,663.32 and 163,067.28

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Solution

The fourth proportional to 299,033.76, 412,663.32 and 163,067.28 is: 225,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,033.76 : 412,663.32 = 163,067.28 : x
  2. Step 2: Convert to fraction form
    299,033.76/412,663.32 = 163,067.28/x
  3. Step 3: Cross multiply
    299,033.76x = 412,663.32 × 163,067.28
  4. Step 4: Simplify right side
    299,033.76x = 67,291,885,148.17
  5. Step 5: Solve for x
    x = 67,291,885,148.17/299,033.76
  6. Step 6: Final answer
    x = 225,031.06

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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.