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Finding the Fourth Proportional to 427,909.56, 590,524.40 and 234,325.44

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Solution

The fourth proportional to 427,909.56, 590,524.40 and 234,325.44 is: 323,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,909.56 : 590,524.40 = 234,325.44 : x
  2. Step 2: Convert to fraction form
    427,909.56/590,524.40 = 234,325.44/x
  3. Step 3: Cross multiply
    427,909.56x = 590,524.40 × 234,325.44
  4. Step 4: Simplify right side
    427,909.56x = 138,374,889,860.74
  5. Step 5: Solve for x
    x = 138,374,889,860.74/427,909.56
  6. Step 6: Final answer
    x = 323,374.15

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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.