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Finding the Fourth Proportional to 299,433.76, 413,224.82 and 163,473.42

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Solution

The fourth proportional to 299,433.76, 413,224.82 and 163,473.42 is: 225,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,433.76 : 413,224.82 = 163,473.42 : x
  2. Step 2: Convert to fraction form
    299,433.76/413,224.82 = 163,473.42/x
  3. Step 3: Cross multiply
    299,433.76x = 413,224.82 × 163,473.42
  4. Step 4: Simplify right side
    299,433.76x = 67,551,274,554.28
  5. Step 5: Solve for x
    x = 67,551,274,554.28/299,433.76
  6. Step 6: Final answer
    x = 225,596.72

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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.