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Finding the Fourth Proportional to 342,309.30, 513,026.55 and 164,433.30

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Solution

The fourth proportional to 342,309.30, 513,026.55 and 164,433.30 is: 246,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,309.30 : 513,026.55 = 164,433.30 : x
  2. Step 2: Convert to fraction form
    342,309.30/513,026.55 = 164,433.30/x
  3. Step 3: Cross multiply
    342,309.30x = 513,026.55 × 164,433.30
  4. Step 4: Simplify right side
    342,309.30x = 84,358,648,604.12
  5. Step 5: Solve for x
    x = 84,358,648,604.12/342,309.30
  6. Step 6: Final answer
    x = 246,439.84

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