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Finding the Fourth Proportional to 299,788.60, 413,708.28 and 165,652.60

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Solution

The fourth proportional to 299,788.60, 413,708.28 and 165,652.60 is: 228,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,788.60 : 413,708.28 = 165,652.60 : x
  2. Step 2: Convert to fraction form
    299,788.60/413,708.28 = 165,652.60/x
  3. Step 3: Cross multiply
    299,788.60x = 413,708.28 × 165,652.60
  4. Step 4: Simplify right side
    299,788.60x = 68,531,852,223.53
  5. Step 5: Solve for x
    x = 68,531,852,223.53/299,788.60
  6. Step 6: Final answer
    x = 228,600.59

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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.