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Finding the Fourth Proportional to 299,032.91, 412,675.38 and 163,074.30

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Solution

The fourth proportional to 299,032.91, 412,675.38 and 163,074.30 is: 225,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,032.91 : 412,675.38 = 163,074.30 : x
  2. Step 2: Convert to fraction form
    299,032.91/412,675.38 = 163,074.30/x
  3. Step 3: Cross multiply
    299,032.91x = 412,675.38 × 163,074.30
  4. Step 4: Simplify right side
    299,032.91x = 67,296,748,720.73
  5. Step 5: Solve for x
    x = 67,296,748,720.73/299,032.91
  6. Step 6: Final answer
    x = 225,047.97

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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.