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Finding the Fourth Proportional to 279,461.14, 385,706.81 and 164,733.14

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Solution

The fourth proportional to 279,461.14, 385,706.81 and 164,733.14 is: 227,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,461.14 : 385,706.81 = 164,733.14 : x
  2. Step 2: Convert to fraction form
    279,461.14/385,706.81 = 164,733.14/x
  3. Step 3: Cross multiply
    279,461.14x = 385,706.81 × 164,733.14
  4. Step 4: Simplify right side
    279,461.14x = 63,538,695,306.78
  5. Step 5: Solve for x
    x = 63,538,695,306.78/279,461.14
  6. Step 6: Final answer
    x = 227,361.47

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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.