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Finding the Fourth Proportional to 594,997, 821,013.24 and 349,992.88

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Solution

The fourth proportional to 594,997, 821,013.24 and 349,992.88 is: 482,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,997 : 821,013.24 = 349,992.88 : x
  2. Step 2: Convert to fraction form
    594,997/821,013.24 = 349,992.88/x
  3. Step 3: Cross multiply
    594,997x = 821,013.24 × 349,992.88
  4. Step 4: Simplify right side
    594,997x = 287,348,788,385.73
  5. Step 5: Solve for x
    x = 287,348,788,385.73/594,997
  6. Step 6: Final answer
    x = 482,941.58

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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.