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Finding the Fourth Proportional to 419,177.58, 578,544.75 and 237,906.48

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Solution

The fourth proportional to 419,177.58, 578,544.75 and 237,906.48 is: 328,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,177.58 : 578,544.75 = 237,906.48 : x
  2. Step 2: Convert to fraction form
    419,177.58/578,544.75 = 237,906.48/x
  3. Step 3: Cross multiply
    419,177.58x = 578,544.75 × 237,906.48
  4. Step 4: Simplify right side
    419,177.58x = 137,639,544,994.98
  5. Step 5: Solve for x
    x = 137,639,544,994.98/419,177.58
  6. Step 6: Final answer
    x = 328,356.17

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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.