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Finding the Fourth Proportional to 314,542.80, 434,216.16 and 201,430.08

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Solution

The fourth proportional to 314,542.80, 434,216.16 and 201,430.08 is: 278,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,542.80 : 434,216.16 = 201,430.08 : x
  2. Step 2: Convert to fraction form
    314,542.80/434,216.16 = 201,430.08/x
  3. Step 3: Cross multiply
    314,542.80x = 434,216.16 × 201,430.08
  4. Step 4: Simplify right side
    314,542.80x = 87,464,195,846.09
  5. Step 5: Solve for x
    x = 87,464,195,846.09/314,542.80
  6. Step 6: Final answer
    x = 278,067.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.