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Finding the Fourth Proportional to 610,395.14, 842,355.41 and 338,474.49

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Solution

The fourth proportional to 610,395.14, 842,355.41 and 338,474.49 is: 467,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,395.14 : 842,355.41 = 338,474.49 : x
  2. Step 2: Convert to fraction form
    610,395.14/842,355.41 = 338,474.49/x
  3. Step 3: Cross multiply
    610,395.14x = 842,355.41 × 338,474.49
  4. Step 4: Simplify right side
    610,395.14x = 285,115,816,106.12
  5. Step 5: Solve for x
    x = 285,115,816,106.12/610,395.14
  6. Step 6: Final answer
    x = 467,100.41

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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.