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Finding the Fourth Proportional to 981,200.70, 1,471,801.05 and 768,624.30

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Solution

The fourth proportional to 981,200.70, 1,471,801.05 and 768,624.30 is: 1,152,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,200.70 : 1,471,801.05 = 768,624.30 : x
  2. Step 2: Convert to fraction form
    981,200.70/1,471,801.05 = 768,624.30/x
  3. Step 3: Cross multiply
    981,200.70x = 1,471,801.05 × 768,624.30
  4. Step 4: Simplify right side
    981,200.70x = 1,131,262,051,795.52
  5. Step 5: Solve for x
    x = 1,131,262,051,795.52/981,200.70
  6. Step 6: Final answer
    x = 1,152,936.45

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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.