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Finding the Fourth Proportional to 299,352.80, 413,112.88 and 165,216.48

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Solution

The fourth proportional to 299,352.80, 413,112.88 and 165,216.48 is: 228,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,352.80 : 413,112.88 = 165,216.48 : x
  2. Step 2: Convert to fraction form
    299,352.80/413,112.88 = 165,216.48/x
  3. Step 3: Cross multiply
    299,352.80x = 413,112.88 × 165,216.48
  4. Step 4: Simplify right side
    299,352.80x = 68,253,055,876.26
  5. Step 5: Solve for x
    x = 68,253,055,876.26/299,352.80
  6. Step 6: Final answer
    x = 228,002.06

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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.