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Finding the Fourth Proportional to 662,864.80, 994,297.20 and 410,922.40

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Solution

The fourth proportional to 662,864.80, 994,297.20 and 410,922.40 is: 616,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,864.80 : 994,297.20 = 410,922.40 : x
  2. Step 2: Convert to fraction form
    662,864.80/994,297.20 = 410,922.40/x
  3. Step 3: Cross multiply
    662,864.80x = 994,297.20 × 410,922.40
  4. Step 4: Simplify right side
    662,864.80x = 408,578,991,737.28
  5. Step 5: Solve for x
    x = 408,578,991,737.28/662,864.80
  6. Step 6: Final answer
    x = 616,383.60

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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.