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Finding the Fourth Proportional to 461,103, 636,847.02 and 309,937.56

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Solution

The fourth proportional to 461,103, 636,847.02 and 309,937.56 is: 428,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,103 : 636,847.02 = 309,937.56 : x
  2. Step 2: Convert to fraction form
    461,103/636,847.02 = 309,937.56/x
  3. Step 3: Cross multiply
    461,103x = 636,847.02 × 309,937.56
  4. Step 4: Simplify right side
    461,103x = 197,382,811,472.07
  5. Step 5: Solve for x
    x = 197,382,811,472.07/461,103
  6. Step 6: Final answer
    x = 428,066.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.