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Finding the Fourth Proportional to 319,620.30, 441,063.11 and 176,378.48

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Solution

The fourth proportional to 319,620.30, 441,063.11 and 176,378.48 is: 243,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,620.30 : 441,063.11 = 176,378.48 : x
  2. Step 2: Convert to fraction form
    319,620.30/441,063.11 = 176,378.48/x
  3. Step 3: Cross multiply
    319,620.30x = 441,063.11 × 176,378.48
  4. Step 4: Simplify right side
    319,620.30x = 77,794,037,838.66
  5. Step 5: Solve for x
    x = 77,794,037,838.66/319,620.30
  6. Step 6: Final answer
    x = 243,395.17

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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.