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Finding the Fourth Proportional to 305,573.28, 458,391.24 and 105,893.52

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Solution

The fourth proportional to 305,573.28, 458,391.24 and 105,893.52 is: 158,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,573.28 : 458,391.24 = 105,893.52 : x
  2. Step 2: Convert to fraction form
    305,573.28/458,391.24 = 105,893.52/x
  3. Step 3: Cross multiply
    305,573.28x = 458,391.24 × 105,893.52
  4. Step 4: Simplify right side
    305,573.28x = 48,540,661,940.76
  5. Step 5: Solve for x
    x = 48,540,661,940.76/305,573.28
  6. Step 6: Final answer
    x = 158,851.13

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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.