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Finding the Fourth Proportional to 299,494.53, 413,299.28 and 163,528.05

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Solution

The fourth proportional to 299,494.53, 413,299.28 and 163,528.05 is: 225,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,494.53 : 413,299.28 = 163,528.05 : x
  2. Step 2: Convert to fraction form
    299,494.53/413,299.28 = 163,528.05/x
  3. Step 3: Cross multiply
    299,494.53x = 413,299.28 × 163,528.05
  4. Step 4: Simplify right side
    299,494.53x = 67,586,024,507.16
  5. Step 5: Solve for x
    x = 67,586,024,507.16/299,494.53
  6. Step 6: Final answer
    x = 225,666.97

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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.