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Finding the Fourth Proportional to 319,634.49, 441,106.19 and 174,448.20

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Solution

The fourth proportional to 319,634.49, 441,106.19 and 174,448.20 is: 240,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,634.49 : 441,106.19 = 174,448.20 : x
  2. Step 2: Convert to fraction form
    319,634.49/441,106.19 = 174,448.20/x
  3. Step 3: Cross multiply
    319,634.49x = 441,106.19 × 174,448.20
  4. Step 4: Simplify right side
    319,634.49x = 76,950,180,854.36
  5. Step 5: Solve for x
    x = 76,950,180,854.36/319,634.49
  6. Step 6: Final answer
    x = 240,744.30

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