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Finding the Fourth Proportional to 547,866, 821,880.77 and 168,755.00

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Solution

The fourth proportional to 547,866, 821,880.77 and 168,755.00 is: 253,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,866 : 821,880.77 = 168,755.00 : x
  2. Step 2: Convert to fraction form
    547,866/821,880.77 = 168,755.00/x
  3. Step 3: Cross multiply
    547,866x = 821,880.77 × 168,755.00
  4. Step 4: Simplify right side
    547,866x = 138,696,484,388.17
  5. Step 5: Solve for x
    x = 138,696,484,388.17/547,866
  6. Step 6: Final answer
    x = 253,157.68

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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.