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Finding the Fourth Proportional to 299,496.96, 413,306.70 and 163,532.10

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Solution

The fourth proportional to 299,496.96, 413,306.70 and 163,532.10 is: 225,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,496.96 : 413,306.70 = 163,532.10 : x
  2. Step 2: Convert to fraction form
    299,496.96/413,306.70 = 163,532.10/x
  3. Step 3: Cross multiply
    299,496.96x = 413,306.70 × 163,532.10
  4. Step 4: Simplify right side
    299,496.96x = 67,588,912,595.07
  5. Step 5: Solve for x
    x = 67,588,912,595.07/299,496.96
  6. Step 6: Final answer
    x = 225,674.79

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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.