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Finding the Fourth Proportional to 517,234.61, 713,772.56 and 299,452.46

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Solution

The fourth proportional to 517,234.61, 713,772.56 and 299,452.46 is: 413,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,234.61 : 713,772.56 = 299,452.46 : x
  2. Step 2: Convert to fraction form
    517,234.61/713,772.56 = 299,452.46/x
  3. Step 3: Cross multiply
    517,234.61x = 713,772.56 × 299,452.46
  4. Step 4: Simplify right side
    517,234.61x = 213,740,943,906.37
  5. Step 5: Solve for x
    x = 213,740,943,906.37/517,234.61
  6. Step 6: Final answer
    x = 413,237.90

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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.