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Finding the Fourth Proportional to 425,832.52, 587,649.41 and 232,240.54

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Solution

The fourth proportional to 425,832.52, 587,649.41 and 232,240.54 is: 320,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,832.52 : 587,649.41 = 232,240.54 : x
  2. Step 2: Convert to fraction form
    425,832.52/587,649.41 = 232,240.54/x
  3. Step 3: Cross multiply
    425,832.52x = 587,649.41 × 232,240.54
  4. Step 4: Simplify right side
    425,832.52x = 136,476,016,309.08
  5. Step 5: Solve for x
    x = 136,476,016,309.08/425,832.52
  6. Step 6: Final answer
    x = 320,492.24

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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.