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Finding the Fourth Proportional to 551,322.82, 827,058.30 and 541,432.14

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Solution

The fourth proportional to 551,322.82, 827,058.30 and 541,432.14 is: 812,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,322.82 : 827,058.30 = 541,432.14 : x
  2. Step 2: Convert to fraction form
    551,322.82/827,058.30 = 541,432.14/x
  3. Step 3: Cross multiply
    551,322.82x = 827,058.30 × 541,432.14
  4. Step 4: Simplify right side
    551,322.82x = 447,795,945,273.76
  5. Step 5: Solve for x
    x = 447,795,945,273.76/551,322.82
  6. Step 6: Final answer
    x = 812,220.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.