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Finding the Fourth Proportional to 463,786.60, 694,643.10 and 453,418.60

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Solution

The fourth proportional to 463,786.60, 694,643.10 and 453,418.60 is: 679,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,786.60 : 694,643.10 = 453,418.60 : x
  2. Step 2: Convert to fraction form
    463,786.60/694,643.10 = 453,418.60/x
  3. Step 3: Cross multiply
    463,786.60x = 694,643.10 × 453,418.60
  4. Step 4: Simplify right side
    463,786.60x = 314,964,101,901.66
  5. Step 5: Solve for x
    x = 314,964,101,901.66/463,786.60
  6. Step 6: Final answer
    x = 679,114.28

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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.