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Finding the Fourth Proportional to 466,200.96, 643,459.20 and 296,401.92

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Solution

The fourth proportional to 466,200.96, 643,459.20 and 296,401.92 is: 409,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,200.96 : 643,459.20 = 296,401.92 : x
  2. Step 2: Convert to fraction form
    466,200.96/643,459.20 = 296,401.92/x
  3. Step 3: Cross multiply
    466,200.96x = 643,459.20 × 296,401.92
  4. Step 4: Simplify right side
    466,200.96x = 190,722,542,321.66
  5. Step 5: Solve for x
    x = 190,722,542,321.66/466,200.96
  6. Step 6: Final answer
    x = 409,099.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.