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Finding the Fourth Proportional to 294,261.88, 441,390.69 and 194,866.98

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Solution

The fourth proportional to 294,261.88, 441,390.69 and 194,866.98 is: 292,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,261.88 : 441,390.69 = 194,866.98 : x
  2. Step 2: Convert to fraction form
    294,261.88/441,390.69 = 194,866.98/x
  3. Step 3: Cross multiply
    294,261.88x = 441,390.69 × 194,866.98
  4. Step 4: Simplify right side
    294,261.88x = 86,012,472,136.09
  5. Step 5: Solve for x
    x = 86,012,472,136.09/294,261.88
  6. Step 6: Final answer
    x = 292,299.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.