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Finding the Fourth Proportional to 306,846.52, 460,339.43 and 93,633.46

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Solution

The fourth proportional to 306,846.52, 460,339.43 and 93,633.46 is: 140,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,846.52 : 460,339.43 = 93,633.46 : x
  2. Step 2: Convert to fraction form
    306,846.52/460,339.43 = 93,633.46/x
  3. Step 3: Cross multiply
    306,846.52x = 460,339.43 × 93,633.46
  4. Step 4: Simplify right side
    306,846.52x = 43,103,173,605.33
  5. Step 5: Solve for x
    x = 43,103,173,605.33/306,846.52
  6. Step 6: Final answer
    x = 140,471.44

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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.