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Finding the Fourth Proportional to 517,974.66, 776,960.91 and 163,019.70

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Solution

The fourth proportional to 517,974.66, 776,960.91 and 163,019.70 is: 244,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,974.66 : 776,960.91 = 163,019.70 : x
  2. Step 2: Convert to fraction form
    517,974.66/776,960.91 = 163,019.70/x
  3. Step 3: Cross multiply
    517,974.66x = 776,960.91 × 163,019.70
  4. Step 4: Simplify right side
    517,974.66x = 126,659,934,459.93
  5. Step 5: Solve for x
    x = 126,659,934,459.93/517,974.66
  6. Step 6: Final answer
    x = 244,529.21

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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.