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Finding the Fourth Proportional to 305,610.52, 458,311.97 and 105,884.28

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Solution

The fourth proportional to 305,610.52, 458,311.97 and 105,884.28 is: 158,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,610.52 : 458,311.97 = 105,884.28 : x
  2. Step 2: Convert to fraction form
    305,610.52/458,311.97 = 105,884.28/x
  3. Step 3: Cross multiply
    305,610.52x = 458,311.97 × 105,884.28
  4. Step 4: Simplify right side
    305,610.52x = 48,528,032,429.41
  5. Step 5: Solve for x
    x = 48,528,032,429.41/305,610.52
  6. Step 6: Final answer
    x = 158,790.45

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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.