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Finding the Fourth Proportional to 776,152, 1,164,233.31 and 296,250.40

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Solution

The fourth proportional to 776,152, 1,164,233.31 and 296,250.40 is: 444,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,152 : 1,164,233.31 = 296,250.40 : x
  2. Step 2: Convert to fraction form
    776,152/1,164,233.31 = 296,250.40/x
  3. Step 3: Cross multiply
    776,152x = 1,164,233.31 × 296,250.40
  4. Step 4: Simplify right side
    776,152x = 344,904,583,780.82
  5. Step 5: Solve for x
    x = 344,904,583,780.82/776,152
  6. Step 6: Final answer
    x = 444,377.63

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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.