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Finding the Fourth Proportional to 501,449.12, 752,284.41 and 185,906.06

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Solution

The fourth proportional to 501,449.12, 752,284.41 and 185,906.06 is: 278,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,449.12 : 752,284.41 = 185,906.06 : x
  2. Step 2: Convert to fraction form
    501,449.12/752,284.41 = 185,906.06/x
  3. Step 3: Cross multiply
    501,449.12x = 752,284.41 × 185,906.06
  4. Step 4: Simplify right side
    501,449.12x = 139,854,230,662.53
  5. Step 5: Solve for x
    x = 139,854,230,662.53/501,449.12
  6. Step 6: Final answer
    x = 278,900.14

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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.