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Finding the Fourth Proportional to 501,449.63, 752,285.16 and 185,906.52

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Solution

The fourth proportional to 501,449.63, 752,285.16 and 185,906.52 is: 278,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,449.63 : 752,285.16 = 185,906.52 : x
  2. Step 2: Convert to fraction form
    501,449.63/752,285.16 = 185,906.52/x
  3. Step 3: Cross multiply
    501,449.63x = 752,285.16 × 185,906.52
  4. Step 4: Simplify right side
    501,449.63x = 139,854,716,143.24
  5. Step 5: Solve for x
    x = 139,854,716,143.24/501,449.63
  6. Step 6: Final answer
    x = 278,900.83

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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.