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Finding the Fourth Proportional to 299,737.61, 413,632.66 and 163,768.18

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Solution

The fourth proportional to 299,737.61, 413,632.66 and 163,768.18 is: 225,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,737.61 : 413,632.66 = 163,768.18 : x
  2. Step 2: Convert to fraction form
    299,737.61/413,632.66 = 163,768.18/x
  3. Step 3: Cross multiply
    299,737.61x = 413,632.66 × 163,768.18
  4. Step 4: Simplify right side
    299,737.61x = 67,739,868,246.78
  5. Step 5: Solve for x
    x = 67,739,868,246.78/299,737.61
  6. Step 6: Final answer
    x = 225,997.22

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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.