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Finding the Fourth Proportional to 683,644.26, 943,448.10 and 377,740.34

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Solution

The fourth proportional to 683,644.26, 943,448.10 and 377,740.34 is: 521,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,644.26 : 943,448.10 = 377,740.34 : x
  2. Step 2: Convert to fraction form
    683,644.26/943,448.10 = 377,740.34/x
  3. Step 3: Cross multiply
    683,644.26x = 943,448.10 × 377,740.34
  4. Step 4: Simplify right side
    683,644.26x = 356,378,404,177.65
  5. Step 5: Solve for x
    x = 356,378,404,177.65/683,644.26
  6. Step 6: Final answer
    x = 521,292.18

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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.