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Finding the Fourth Proportional to 299,432.38, 413,222.93 and 163,472.05

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Solution

The fourth proportional to 299,432.38, 413,222.93 and 163,472.05 is: 225,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.38 : 413,222.93 = 163,472.05 : x
  2. Step 2: Convert to fraction form
    299,432.38/413,222.93 = 163,472.05/x
  3. Step 3: Cross multiply
    299,432.38x = 413,222.93 × 163,472.05
  4. Step 4: Simplify right side
    299,432.38x = 67,550,401,432.37
  5. Step 5: Solve for x
    x = 67,550,401,432.37/299,432.38
  6. Step 6: Final answer
    x = 225,594.85

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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.