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Finding the Fourth Proportional to 299,609.43, 413,464.14 and 163,647.29

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Solution

The fourth proportional to 299,609.43, 413,464.14 and 163,647.29 is: 225,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,609.43 : 413,464.14 = 163,647.29 : x
  2. Step 2: Convert to fraction form
    299,609.43/413,464.14 = 163,647.29/x
  3. Step 3: Cross multiply
    299,609.43x = 413,464.14 × 163,647.29
  4. Step 4: Simplify right side
    299,609.43x = 67,662,283,955.86
  5. Step 5: Solve for x
    x = 67,662,283,955.86/299,609.43
  6. Step 6: Final answer
    x = 225,834.96

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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.