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Finding the Fourth Proportional to 342,970.20, 514,455.30 and 323,724.60

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Solution

The fourth proportional to 342,970.20, 514,455.30 and 323,724.60 is: 485,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,970.20 : 514,455.30 = 323,724.60 : x
  2. Step 2: Convert to fraction form
    342,970.20/514,455.30 = 323,724.60/x
  3. Step 3: Cross multiply
    342,970.20x = 514,455.30 × 323,724.60
  4. Step 4: Simplify right side
    342,970.20x = 166,541,836,210.38
  5. Step 5: Solve for x
    x = 166,541,836,210.38/342,970.20
  6. Step 6: Final answer
    x = 485,586.90

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Why These Related Problems?

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