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Finding the Fourth Proportional to 299,496.17, 413,313.21 and 163,538.73

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Solution

The fourth proportional to 299,496.17, 413,313.21 and 163,538.73 is: 225,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,496.17 : 413,313.21 = 163,538.73 : x
  2. Step 2: Convert to fraction form
    299,496.17/413,313.21 = 163,538.73/x
  3. Step 3: Cross multiply
    299,496.17x = 413,313.21 × 163,538.73
  4. Step 4: Simplify right side
    299,496.17x = 67,592,717,455.62
  5. Step 5: Solve for x
    x = 67,592,717,455.62/299,496.17
  6. Step 6: Final answer
    x = 225,688.09

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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.