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Finding the Fourth Proportional to 415,272.60, 623,600.10 and 228,418.20

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Solution

The fourth proportional to 415,272.60, 623,600.10 and 228,418.20 is: 343,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,272.60 : 623,600.10 = 228,418.20 : x
  2. Step 2: Convert to fraction form
    415,272.60/623,600.10 = 228,418.20/x
  3. Step 3: Cross multiply
    415,272.60x = 623,600.10 × 228,418.20
  4. Step 4: Simplify right side
    415,272.60x = 142,441,612,361.82
  5. Step 5: Solve for x
    x = 142,441,612,361.82/415,272.60
  6. Step 6: Final answer
    x = 343,007.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.