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Finding the Fourth Proportional to 299,460.14, 413,248.67 and 163,487.51

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Solution

The fourth proportional to 299,460.14, 413,248.67 and 163,487.51 is: 225,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,460.14 : 413,248.67 = 163,487.51 : x
  2. Step 2: Convert to fraction form
    299,460.14/413,248.67 = 163,487.51/x
  3. Step 3: Cross multiply
    299,460.14x = 413,248.67 × 163,487.51
  4. Step 4: Simplify right side
    299,460.14x = 67,560,993,185.43
  5. Step 5: Solve for x
    x = 67,560,993,185.43/299,460.14
  6. Step 6: Final answer
    x = 225,609.31

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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.