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Finding the Fourth Proportional to 299,730.82, 413,623.63 and 163,761.84

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Solution

The fourth proportional to 299,730.82, 413,623.63 and 163,761.84 is: 225,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730.82 : 413,623.63 = 163,761.84 : x
  2. Step 2: Convert to fraction form
    299,730.82/413,623.63 = 163,761.84/x
  3. Step 3: Cross multiply
    299,730.82x = 413,623.63 × 163,761.84
  4. Step 4: Simplify right side
    299,730.82x = 67,735,764,648.16
  5. Step 5: Solve for x
    x = 67,735,764,648.16/299,730.82
  6. Step 6: Final answer
    x = 225,988.66

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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.