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Finding the Fourth Proportional to 569,605.08, 785,941.22 and 314,907

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Solution

The fourth proportional to 569,605.08, 785,941.22 and 314,907 is: 434,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,605.08 : 785,941.22 = 314,907 : x
  2. Step 2: Convert to fraction form
    569,605.08/785,941.22 = 314,907/x
  3. Step 3: Cross multiply
    569,605.08x = 785,941.22 × 314,907
  4. Step 4: Simplify right side
    569,605.08x = 247,498,391,766.54
  5. Step 5: Solve for x
    x = 247,498,391,766.54/569,605.08
  6. Step 6: Final answer
    x = 434,508.75

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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.