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Finding the Fourth Proportional to 305,208.14, 457,718.60 and 211,043.39

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Solution

The fourth proportional to 305,208.14, 457,718.60 and 211,043.39 is: 316,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,208.14 : 457,718.60 = 211,043.39 : x
  2. Step 2: Convert to fraction form
    305,208.14/457,718.60 = 211,043.39/x
  3. Step 3: Cross multiply
    305,208.14x = 457,718.60 × 211,043.39
  4. Step 4: Simplify right side
    305,208.14x = 96,598,483,249.07
  5. Step 5: Solve for x
    x = 96,598,483,249.07/305,208.14
  6. Step 6: Final answer
    x = 316,500.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.