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Finding the Fourth Proportional to 503,359.10, 694,635.66 and 277,004.60

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Solution

The fourth proportional to 503,359.10, 694,635.66 and 277,004.60 is: 382,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,359.10 : 694,635.66 = 277,004.60 : x
  2. Step 2: Convert to fraction form
    503,359.10/694,635.66 = 277,004.60/x
  3. Step 3: Cross multiply
    503,359.10x = 694,635.66 × 277,004.60
  4. Step 4: Simplify right side
    503,359.10x = 192,417,274,880.63
  5. Step 5: Solve for x
    x = 192,417,274,880.63/503,359.10
  6. Step 6: Final answer
    x = 382,266.41

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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.