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Finding the Fourth Proportional to 776,153, 1,164,234.81 and 296,251.40

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Solution

The fourth proportional to 776,153, 1,164,234.81 and 296,251.40 is: 444,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,153 : 1,164,234.81 = 296,251.40 : x
  2. Step 2: Convert to fraction form
    776,153/1,164,234.81 = 296,251.40/x
  3. Step 3: Cross multiply
    776,153x = 1,164,234.81 × 296,251.40
  4. Step 4: Simplify right side
    776,153x = 344,906,192,391.23
  5. Step 5: Solve for x
    x = 344,906,192,391.23/776,153
  6. Step 6: Final answer
    x = 444,379.13

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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.