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Finding the Fourth Proportional to 299,673.16, 413,530.68 and 163,679.56

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Solution

The fourth proportional to 299,673.16, 413,530.68 and 163,679.56 is: 225,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,673.16 : 413,530.68 = 163,679.56 : x
  2. Step 2: Convert to fraction form
    299,673.16/413,530.68 = 163,679.56/x
  3. Step 3: Cross multiply
    299,673.16x = 413,530.68 × 163,679.56
  4. Step 4: Simplify right side
    299,673.16x = 67,686,519,748.90
  5. Step 5: Solve for x
    x = 67,686,519,748.90/299,673.16
  6. Step 6: Final answer
    x = 225,867.81

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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.