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Finding the Fourth Proportional to 460,693.60, 635,778.84 and 269,768.50

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Solution

The fourth proportional to 460,693.60, 635,778.84 and 269,768.50 is: 372,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,693.60 : 635,778.84 = 269,768.50 : x
  2. Step 2: Convert to fraction form
    460,693.60/635,778.84 = 269,768.50/x
  3. Step 3: Cross multiply
    460,693.60x = 635,778.84 × 269,768.50
  4. Step 4: Simplify right side
    460,693.60x = 171,513,103,998.54
  5. Step 5: Solve for x
    x = 171,513,103,998.54/460,693.60
  6. Step 6: Final answer
    x = 372,293.22

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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.