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Finding the Fourth Proportional to 413,853.93, 621,568.26 and 257,177.25

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Solution

The fourth proportional to 413,853.93, 621,568.26 and 257,177.25 is: 386,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,853.93 : 621,568.26 = 257,177.25 : x
  2. Step 2: Convert to fraction form
    413,853.93/621,568.26 = 257,177.25/x
  3. Step 3: Cross multiply
    413,853.93x = 621,568.26 × 257,177.25
  4. Step 4: Simplify right side
    413,853.93x = 159,853,215,794.09
  5. Step 5: Solve for x
    x = 159,853,215,794.09/413,853.93
  6. Step 6: Final answer
    x = 386,255.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.