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Finding the Fourth Proportional to 568,071.22, 783,902.64 and 313,424.14

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Solution

The fourth proportional to 568,071.22, 783,902.64 and 313,424.14 is: 432,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,071.22 : 783,902.64 = 313,424.14 : x
  2. Step 2: Convert to fraction form
    568,071.22/783,902.64 = 313,424.14/x
  3. Step 3: Cross multiply
    568,071.22x = 783,902.64 × 313,424.14
  4. Step 4: Simplify right side
    568,071.22x = 245,694,010,785.73
  5. Step 5: Solve for x
    x = 245,694,010,785.73/568,071.22
  6. Step 6: Final answer
    x = 432,505.65

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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.