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Finding the Fourth Proportional to 299,494.64, 413,299.48 and 163,528.16

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Solution

The fourth proportional to 299,494.64, 413,299.48 and 163,528.16 is: 225,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,494.64 : 413,299.48 = 163,528.16 : x
  2. Step 2: Convert to fraction form
    299,494.64/413,299.48 = 163,528.16/x
  3. Step 3: Cross multiply
    299,494.64x = 413,299.48 × 163,528.16
  4. Step 4: Simplify right side
    299,494.64x = 67,586,103,493.36
  5. Step 5: Solve for x
    x = 67,586,103,493.36/299,494.64
  6. Step 6: Final answer
    x = 225,667.16

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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.