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Finding the Fourth Proportional to 427,808.35, 590,375.69 and 234,228.60

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Solution

The fourth proportional to 427,808.35, 590,375.69 and 234,228.60 is: 323,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,808.35 : 590,375.69 = 234,228.60 : x
  2. Step 2: Convert to fraction form
    427,808.35/590,375.69 = 234,228.60/x
  3. Step 3: Cross multiply
    427,808.35x = 590,375.69 × 234,228.60
  4. Step 4: Simplify right side
    427,808.35x = 138,282,871,342.73
  5. Step 5: Solve for x
    x = 138,282,871,342.73/427,808.35
  6. Step 6: Final answer
    x = 323,235.56

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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.