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Finding the Fourth Proportional to 464,997, 697,501.98 and 132,573

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Solution

The fourth proportional to 464,997, 697,501.98 and 132,573 is: 198,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,997 : 697,501.98 = 132,573 : x
  2. Step 2: Convert to fraction form
    464,997/697,501.98 = 132,573/x
  3. Step 3: Cross multiply
    464,997x = 697,501.98 × 132,573
  4. Step 4: Simplify right side
    464,997x = 92,469,929,994.54
  5. Step 5: Solve for x
    x = 92,469,929,994.54/464,997
  6. Step 6: Final answer
    x = 198,861.35

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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.