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Finding the Fourth Proportional to 299,435.50, 413,220.99 and 165,300.46

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Solution

The fourth proportional to 299,435.50, 413,220.99 and 165,300.46 is: 228,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,435.50 : 413,220.99 = 165,300.46 : x
  2. Step 2: Convert to fraction form
    299,435.50/413,220.99 = 165,300.46/x
  3. Step 3: Cross multiply
    299,435.50x = 413,220.99 × 165,300.46
  4. Step 4: Simplify right side
    299,435.50x = 68,305,619,728.66
  5. Step 5: Solve for x
    x = 68,305,619,728.66/299,435.50
  6. Step 6: Final answer
    x = 228,114.63

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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.