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Finding the Fourth Proportional to 463,559.60, 694,464.60 and 432,066.80

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Solution

The fourth proportional to 463,559.60, 694,464.60 and 432,066.80 is: 647,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,559.60 : 694,464.60 = 432,066.80 : x
  2. Step 2: Convert to fraction form
    463,559.60/694,464.60 = 432,066.80/x
  3. Step 3: Cross multiply
    463,559.60x = 694,464.60 × 432,066.80
  4. Step 4: Simplify right side
    463,559.60x = 300,055,097,435.28
  5. Step 5: Solve for x
    x = 300,055,097,435.28/463,559.60
  6. Step 6: Final answer
    x = 647,284.83

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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.