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Finding the Fourth Proportional to 299,302.55, 413,046.23 and 163,345.24

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Solution

The fourth proportional to 299,302.55, 413,046.23 and 163,345.24 is: 225,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.55 : 413,046.23 = 163,345.24 : x
  2. Step 2: Convert to fraction form
    299,302.55/413,046.23 = 163,345.24/x
  3. Step 3: Cross multiply
    299,302.55x = 413,046.23 × 163,345.24
  4. Step 4: Simplify right side
    299,302.55x = 67,469,135,570.45
  5. Step 5: Solve for x
    x = 67,469,135,570.45/299,302.55
  6. Step 6: Final answer
    x = 225,421.19

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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.