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Finding the Fourth Proportional to 517,496.80, 776,278.14 and 162,524.83

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Solution

The fourth proportional to 517,496.80, 776,278.14 and 162,524.83 is: 243,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,496.80 : 776,278.14 = 162,524.83 : x
  2. Step 2: Convert to fraction form
    517,496.80/776,278.14 = 162,524.83/x
  3. Step 3: Cross multiply
    517,496.80x = 776,278.14 × 162,524.83
  4. Step 4: Simplify right side
    517,496.80x = 126,164,472,736.22
  5. Step 5: Solve for x
    x = 126,164,472,736.22/517,496.80
  6. Step 6: Final answer
    x = 243,797.59

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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.