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Finding the Fourth Proportional to 296,776.19, 409,571.93 and 167,726.59

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Solution

The fourth proportional to 296,776.19, 409,571.93 and 167,726.59 is: 231,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,776.19 : 409,571.93 = 167,726.59 : x
  2. Step 2: Convert to fraction form
    296,776.19/409,571.93 = 167,726.59/x
  3. Step 3: Cross multiply
    296,776.19x = 409,571.93 × 167,726.59
  4. Step 4: Simplify right side
    296,776.19x = 68,696,103,178.62
  5. Step 5: Solve for x
    x = 68,696,103,178.62/296,776.19
  6. Step 6: Final answer
    x = 231,474.44

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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.