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Finding the Fourth Proportional to 431,355.80, 647,033.70 and 405,111.80

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Solution

The fourth proportional to 431,355.80, 647,033.70 and 405,111.80 is: 607,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,355.80 : 647,033.70 = 405,111.80 : x
  2. Step 2: Convert to fraction form
    431,355.80/647,033.70 = 405,111.80/x
  3. Step 3: Cross multiply
    431,355.80x = 647,033.70 × 405,111.80
  4. Step 4: Simplify right side
    431,355.80x = 262,120,986,867.66
  5. Step 5: Solve for x
    x = 262,120,986,867.66/431,355.80
  6. Step 6: Final answer
    x = 607,667.70

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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.