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Finding the Fourth Proportional to 519,699.78, 717,185.70 and 293,359.86

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Solution

The fourth proportional to 519,699.78, 717,185.70 and 293,359.86 is: 404,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,699.78 : 717,185.70 = 293,359.86 : x
  2. Step 2: Convert to fraction form
    519,699.78/717,185.70 = 293,359.86/x
  3. Step 3: Cross multiply
    519,699.78x = 717,185.70 × 293,359.86
  4. Step 4: Simplify right side
    519,699.78x = 210,393,496,546.00
  5. Step 5: Solve for x
    x = 210,393,496,546.00/519,699.78
  6. Step 6: Final answer
    x = 404,836.61

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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.