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Finding the Fourth Proportional to 467,940.80, 701,911.20 and 152,429.60

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Solution

The fourth proportional to 467,940.80, 701,911.20 and 152,429.60 is: 228,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,940.80 : 701,911.20 = 152,429.60 : x
  2. Step 2: Convert to fraction form
    467,940.80/701,911.20 = 152,429.60/x
  3. Step 3: Cross multiply
    467,940.80x = 701,911.20 × 152,429.60
  4. Step 4: Simplify right side
    467,940.80x = 106,992,043,451.52
  5. Step 5: Solve for x
    x = 106,992,043,451.52/467,940.80
  6. Step 6: Final answer
    x = 228,644.40

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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.