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Finding the Fourth Proportional to 468,464.94, 646,243.02 and 284,653.98

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Solution

The fourth proportional to 468,464.94, 646,243.02 and 284,653.98 is: 392,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,464.94 : 646,243.02 = 284,653.98 : x
  2. Step 2: Convert to fraction form
    468,464.94/646,243.02 = 284,653.98/x
  3. Step 3: Cross multiply
    468,464.94x = 646,243.02 × 284,653.98
  4. Step 4: Simplify right side
    468,464.94x = 183,955,647,690.22
  5. Step 5: Solve for x
    x = 183,955,647,690.22/468,464.94
  6. Step 6: Final answer
    x = 392,677.51

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Why These Related Problems?

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