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Finding the Fourth Proportional to 404,753.14, 558,548.21 and 223,461.78

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Solution

The fourth proportional to 404,753.14, 558,548.21 and 223,461.78 is: 308,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,753.14 : 558,548.21 = 223,461.78 : x
  2. Step 2: Convert to fraction form
    404,753.14/558,548.21 = 223,461.78/x
  3. Step 3: Cross multiply
    404,753.14x = 558,548.21 × 223,461.78
  4. Step 4: Simplify right side
    404,753.14x = 124,814,177,222.41
  5. Step 5: Solve for x
    x = 124,814,177,222.41/404,753.14
  6. Step 6: Final answer
    x = 308,371.12

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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.