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Finding the Fourth Proportional to 520,231.50, 717,977.82 and 293,891.58

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Solution

The fourth proportional to 520,231.50, 717,977.82 and 293,891.58 is: 405,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,231.50 : 717,977.82 = 293,891.58 : x
  2. Step 2: Convert to fraction form
    520,231.50/717,977.82 = 293,891.58/x
  3. Step 3: Cross multiply
    520,231.50x = 717,977.82 × 293,891.58
  4. Step 4: Simplify right side
    520,231.50x = 211,007,635,924.76
  5. Step 5: Solve for x
    x = 211,007,635,924.76/520,231.50
  6. Step 6: Final answer
    x = 405,603.34

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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.