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Finding the Fourth Proportional to 806,571.80, 1,209,857.70 and 413,355.80

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Solution

The fourth proportional to 806,571.80, 1,209,857.70 and 413,355.80 is: 620,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,571.80 : 1,209,857.70 = 413,355.80 : x
  2. Step 2: Convert to fraction form
    806,571.80/1,209,857.70 = 413,355.80/x
  3. Step 3: Cross multiply
    806,571.80x = 1,209,857.70 × 413,355.80
  4. Step 4: Simplify right side
    806,571.80x = 500,101,697,469.66
  5. Step 5: Solve for x
    x = 500,101,697,469.66/806,571.80
  6. Step 6: Final answer
    x = 620,033.70

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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.