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Finding the Fourth Proportional to 467,905.20, 701,201.70 and 411,480.60

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Solution

The fourth proportional to 467,905.20, 701,201.70 and 411,480.60 is: 616,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,905.20 : 701,201.70 = 411,480.60 : x
  2. Step 2: Convert to fraction form
    467,905.20/701,201.70 = 411,480.60/x
  3. Step 3: Cross multiply
    467,905.20x = 701,201.70 × 411,480.60
  4. Step 4: Simplify right side
    467,905.20x = 288,530,896,237.02
  5. Step 5: Solve for x
    x = 288,530,896,237.02/467,905.20
  6. Step 6: Final answer
    x = 616,643.92

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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.