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Finding the Fourth Proportional to 410,976.80, 616,076.40 and 242,626.40

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Solution

The fourth proportional to 410,976.80, 616,076.40 and 242,626.40 is: 363,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,976.80 : 616,076.40 = 242,626.40 : x
  2. Step 2: Convert to fraction form
    410,976.80/616,076.40 = 242,626.40/x
  3. Step 3: Cross multiply
    410,976.80x = 616,076.40 × 242,626.40
  4. Step 4: Simplify right side
    410,976.80x = 149,476,399,056.96
  5. Step 5: Solve for x
    x = 149,476,399,056.96/410,976.80
  6. Step 6: Final answer
    x = 363,710.07

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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.