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Finding the Fourth Proportional to 503,266.66, 694,279.16 and 299,201.80

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Solution

The fourth proportional to 503,266.66, 694,279.16 and 299,201.80 is: 412,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,266.66 : 694,279.16 = 299,201.80 : x
  2. Step 2: Convert to fraction form
    503,266.66/694,279.16 = 299,201.80/x
  3. Step 3: Cross multiply
    503,266.66x = 694,279.16 × 299,201.80
  4. Step 4: Simplify right side
    503,266.66x = 207,729,574,374.49
  5. Step 5: Solve for x
    x = 207,729,574,374.49/503,266.66
  6. Step 6: Final answer
    x = 412,762.44

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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.