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Finding the Fourth Proportional to 414,615.90, 572,119.02 and 261,596.37

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Solution

The fourth proportional to 414,615.90, 572,119.02 and 261,596.37 is: 360,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,615.90 : 572,119.02 = 261,596.37 : x
  2. Step 2: Convert to fraction form
    414,615.90/572,119.02 = 261,596.37/x
  3. Step 3: Cross multiply
    414,615.90x = 572,119.02 × 261,596.37
  4. Step 4: Simplify right side
    414,615.90x = 149,664,258,839.96
  5. Step 5: Solve for x
    x = 149,664,258,839.96/414,615.90
  6. Step 6: Final answer
    x = 360,970.86

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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.