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Finding the Fourth Proportional to 229,096, 343,650.48 and 62,884

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Solution

The fourth proportional to 229,096, 343,650.48 and 62,884 is: 94,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096 : 343,650.48 = 62,884 : x
  2. Step 2: Convert to fraction form
    229,096/343,650.48 = 62,884/x
  3. Step 3: Cross multiply
    229,096x = 343,650.48 × 62,884
  4. Step 4: Simplify right side
    229,096x = 21,610,116,784.32
  5. Step 5: Solve for x
    x = 21,610,116,784.32/229,096
  6. Step 6: Final answer
    x = 94,327.78

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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.