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Finding the Fourth Proportional to 489,280.60, 733,046.10 and 419,296.60

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Solution

The fourth proportional to 489,280.60, 733,046.10 and 419,296.60 is: 628,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,280.60 : 733,046.10 = 419,296.60 : x
  2. Step 2: Convert to fraction form
    489,280.60/733,046.10 = 419,296.60/x
  3. Step 3: Cross multiply
    489,280.60x = 733,046.10 × 419,296.60
  4. Step 4: Simplify right side
    489,280.60x = 307,363,737,373.26
  5. Step 5: Solve for x
    x = 307,363,737,373.26/489,280.60
  6. Step 6: Final answer
    x = 628,195.23

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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.