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Finding the Fourth Proportional to 516,229, 774,372.66 and 183,805

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Solution

The fourth proportional to 516,229, 774,372.66 and 183,805 is: 275,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,229 : 774,372.66 = 183,805 : x
  2. Step 2: Convert to fraction form
    516,229/774,372.66 = 183,805/x
  3. Step 3: Cross multiply
    516,229x = 774,372.66 × 183,805
  4. Step 4: Simplify right side
    516,229x = 142,333,566,771.30
  5. Step 5: Solve for x
    x = 142,333,566,771.30/516,229
  6. Step 6: Final answer
    x = 275,717.88

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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.