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Finding the Fourth Proportional to 567,665.82, 783,362.07 and 313,016.94

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Solution

The fourth proportional to 567,665.82, 783,362.07 and 313,016.94 is: 431,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,665.82 : 783,362.07 = 313,016.94 : x
  2. Step 2: Convert to fraction form
    567,665.82/783,362.07 = 313,016.94/x
  3. Step 3: Cross multiply
    567,665.82x = 783,362.07 × 313,016.94
  4. Step 4: Simplify right side
    567,665.82x = 245,205,598,063.47
  5. Step 5: Solve for x
    x = 245,205,598,063.47/567,665.82
  6. Step 6: Final answer
    x = 431,954.13

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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.