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Finding the Fourth Proportional to 516,235, 774,381.66 and 183,811

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Solution

The fourth proportional to 516,235, 774,381.66 and 183,811 is: 275,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,235 : 774,381.66 = 183,811 : x
  2. Step 2: Convert to fraction form
    516,235/774,381.66 = 183,811/x
  3. Step 3: Cross multiply
    516,235x = 774,381.66 × 183,811
  4. Step 4: Simplify right side
    516,235x = 142,339,867,306.26
  5. Step 5: Solve for x
    x = 142,339,867,306.26/516,235
  6. Step 6: Final answer
    x = 275,726.88

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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.