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Finding the Fourth Proportional to 567,992.39, 783,832.16 and 313,343.51

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Solution

The fourth proportional to 567,992.39, 783,832.16 and 313,343.51 is: 432,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,992.39 : 783,832.16 = 313,343.51 : x
  2. Step 2: Convert to fraction form
    567,992.39/783,832.16 = 313,343.51/x
  3. Step 3: Cross multiply
    567,992.39x = 783,832.16 × 313,343.51
  4. Step 4: Simplify right side
    567,992.39x = 245,608,718,698.56
  5. Step 5: Solve for x
    x = 245,608,718,698.56/567,992.39
  6. Step 6: Final answer
    x = 432,415.51

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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.