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Finding the Fourth Proportional to 416,003.80, 624,005.70 and 411,856.60

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Solution

The fourth proportional to 416,003.80, 624,005.70 and 411,856.60 is: 617,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,003.80 : 624,005.70 = 411,856.60 : x
  2. Step 2: Convert to fraction form
    416,003.80/624,005.70 = 411,856.60/x
  3. Step 3: Cross multiply
    416,003.80x = 624,005.70 × 411,856.60
  4. Step 4: Simplify right side
    416,003.80x = 257,000,865,982.62
  5. Step 5: Solve for x
    x = 257,000,865,982.62/416,003.80
  6. Step 6: Final answer
    x = 617,784.90

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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.