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Finding the Fourth Proportional to 686,121.84, 947,310.26 and 428,391.20

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Solution

The fourth proportional to 686,121.84, 947,310.26 and 428,391.20 is: 591,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,121.84 : 947,310.26 = 428,391.20 : x
  2. Step 2: Convert to fraction form
    686,121.84/947,310.26 = 428,391.20/x
  3. Step 3: Cross multiply
    686,121.84x = 947,310.26 × 428,391.20
  4. Step 4: Simplify right side
    686,121.84x = 405,819,379,053.71
  5. Step 5: Solve for x
    x = 405,819,379,053.71/686,121.84
  6. Step 6: Final answer
    x = 591,468.39

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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.