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Finding the Fourth Proportional to 462,783.92, 694,181.64 and 147,239.60

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Solution

The fourth proportional to 462,783.92, 694,181.64 and 147,239.60 is: 220,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783.92 : 694,181.64 = 147,239.60 : x
  2. Step 2: Convert to fraction form
    462,783.92/694,181.64 = 147,239.60/x
  3. Step 3: Cross multiply
    462,783.92x = 694,181.64 × 147,239.60
  4. Step 4: Simplify right side
    462,783.92x = 102,211,027,000.94
  5. Step 5: Solve for x
    x = 102,211,027,000.94/462,783.92
  6. Step 6: Final answer
    x = 220,861.23

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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.