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Finding the Fourth Proportional to 299,560.46, 413,396.71 and 163,598.40

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Solution

The fourth proportional to 299,560.46, 413,396.71 and 163,598.40 is: 225,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,560.46 : 413,396.71 = 163,598.40 : x
  2. Step 2: Convert to fraction form
    299,560.46/413,396.71 = 163,598.40/x
  3. Step 3: Cross multiply
    299,560.46x = 413,396.71 × 163,598.40
  4. Step 4: Simplify right side
    299,560.46x = 67,631,039,912.27
  5. Step 5: Solve for x
    x = 67,631,039,912.27/299,560.46
  6. Step 6: Final answer
    x = 225,767.58

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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.