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Finding the Fourth Proportional to 299,323.92, 413,054.10 and 163,354.44

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Solution

The fourth proportional to 299,323.92, 413,054.10 and 163,354.44 is: 225,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.92 : 413,054.10 = 163,354.44 : x
  2. Step 2: Convert to fraction form
    299,323.92/413,054.10 = 163,354.44/x
  3. Step 3: Cross multiply
    299,323.92x = 413,054.10 × 163,354.44
  4. Step 4: Simplify right side
    299,323.92x = 67,474,221,195.20
  5. Step 5: Solve for x
    x = 67,474,221,195.20/299,323.92
  6. Step 6: Final answer
    x = 225,422.08

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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.