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Finding the Fourth Proportional to 462,383.60, 693,640.20 and 146,807.60

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Solution

The fourth proportional to 462,383.60, 693,640.20 and 146,807.60 is: 220,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,383.60 : 693,640.20 = 146,807.60 : x
  2. Step 2: Convert to fraction form
    462,383.60/693,640.20 = 146,807.60/x
  3. Step 3: Cross multiply
    462,383.60x = 693,640.20 × 146,807.60
  4. Step 4: Simplify right side
    462,383.60x = 101,831,653,025.52
  5. Step 5: Solve for x
    x = 101,831,653,025.52/462,383.60
  6. Step 6: Final answer
    x = 220,231.97

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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.