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Finding the Fourth Proportional to 568,097.86, 783,974.46 and 313,449.02

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Solution

The fourth proportional to 568,097.86, 783,974.46 and 313,449.02 is: 432,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,097.86 : 783,974.46 = 313,449.02 : x
  2. Step 2: Convert to fraction form
    568,097.86/783,974.46 = 313,449.02/x
  3. Step 3: Cross multiply
    568,097.86x = 783,974.46 × 313,449.02
  4. Step 4: Simplify right side
    568,097.86x = 245,736,026,192.03
  5. Step 5: Solve for x
    x = 245,736,026,192.03/568,097.86
  6. Step 6: Final answer
    x = 432,559.32

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Why These Related Problems?

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