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Finding the Fourth Proportional to 734,794.80, 1,013,960.84 and 412,442.62

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Solution

The fourth proportional to 734,794.80, 1,013,960.84 and 412,442.62 is: 569,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,794.80 : 1,013,960.84 = 412,442.62 : x
  2. Step 2: Convert to fraction form
    734,794.80/1,013,960.84 = 412,442.62/x
  3. Step 3: Cross multiply
    734,794.80x = 1,013,960.84 × 412,442.62
  4. Step 4: Simplify right side
    734,794.80x = 418,200,663,923.21
  5. Step 5: Solve for x
    x = 418,200,663,923.21/734,794.80
  6. Step 6: Final answer
    x = 569,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.