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Finding the Fourth Proportional to 462,930, 638,847.24 and 250,962

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Solution

The fourth proportional to 462,930, 638,847.24 and 250,962 is: 346,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,930 : 638,847.24 = 250,962 : x
  2. Step 2: Convert to fraction form
    462,930/638,847.24 = 250,962/x
  3. Step 3: Cross multiply
    462,930x = 638,847.24 × 250,962
  4. Step 4: Simplify right side
    462,930x = 160,326,381,044.88
  5. Step 5: Solve for x
    x = 160,326,381,044.88/462,930
  6. Step 6: Final answer
    x = 346,329.64

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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.