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Finding the Fourth Proportional to 411,276.20, 616,914.30 and 395,529.80

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Solution

The fourth proportional to 411,276.20, 616,914.30 and 395,529.80 is: 593,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,276.20 : 616,914.30 = 395,529.80 : x
  2. Step 2: Convert to fraction form
    411,276.20/616,914.30 = 395,529.80/x
  3. Step 3: Cross multiply
    411,276.20x = 616,914.30 × 395,529.80
  4. Step 4: Simplify right side
    411,276.20x = 244,007,989,696.14
  5. Step 5: Solve for x
    x = 244,007,989,696.14/411,276.20
  6. Step 6: Final answer
    x = 593,294.70

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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.