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Finding the Fourth Proportional to 299,625.84, 413,485.80 and 165,489.84

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Solution

The fourth proportional to 299,625.84, 413,485.80 and 165,489.84 is: 228,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,625.84 : 413,485.80 = 165,489.84 : x
  2. Step 2: Convert to fraction form
    299,625.84/413,485.80 = 165,489.84/x
  3. Step 3: Cross multiply
    299,625.84x = 413,485.80 × 165,489.84
  4. Step 4: Simplify right side
    299,625.84x = 68,427,698,884.27
  5. Step 5: Solve for x
    x = 68,427,698,884.27/299,625.84
  6. Step 6: Final answer
    x = 228,377.16

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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.