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Finding the Fourth Proportional to 614,538.72, 848,067.36 and 342,624

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Solution

The fourth proportional to 614,538.72, 848,067.36 and 342,624 is: 472,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,538.72 : 848,067.36 = 342,624 : x
  2. Step 2: Convert to fraction form
    614,538.72/848,067.36 = 342,624/x
  3. Step 3: Cross multiply
    614,538.72x = 848,067.36 × 342,624
  4. Step 4: Simplify right side
    614,538.72x = 290,568,231,152.64
  5. Step 5: Solve for x
    x = 290,568,231,152.64/614,538.72
  6. Step 6: Final answer
    x = 472,823.31

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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.