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Finding the Fourth Proportional to 569,083.80, 785,351.48 and 314,451.48

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Solution

The fourth proportional to 569,083.80, 785,351.48 and 314,451.48 is: 433,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,083.80 : 785,351.48 = 314,451.48 : x
  2. Step 2: Convert to fraction form
    569,083.80/785,351.48 = 314,451.48/x
  3. Step 3: Cross multiply
    569,083.80x = 785,351.48 × 314,451.48
  4. Step 4: Simplify right side
    569,083.80x = 246,954,935,206.19
  5. Step 5: Solve for x
    x = 246,954,935,206.19/569,083.80
  6. Step 6: Final answer
    x = 433,951.79

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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.