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Finding the Fourth Proportional to 567,651.06, 783,356.13 and 313,006.50

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Solution

The fourth proportional to 567,651.06, 783,356.13 and 313,006.50 is: 431,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,651.06 : 783,356.13 = 313,006.50 : x
  2. Step 2: Convert to fraction form
    567,651.06/783,356.13 = 313,006.50/x
  3. Step 3: Cross multiply
    567,651.06x = 783,356.13 × 313,006.50
  4. Step 4: Simplify right side
    567,651.06x = 245,195,560,504.85
  5. Step 5: Solve for x
    x = 245,195,560,504.85/567,651.06
  6. Step 6: Final answer
    x = 431,947.68

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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.