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Finding the Fourth Proportional to 294,262.88, 441,392.19 and 194,867.98

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Solution

The fourth proportional to 294,262.88, 441,392.19 and 194,867.98 is: 292,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,262.88 : 441,392.19 = 194,867.98 : x
  2. Step 2: Convert to fraction form
    294,262.88/441,392.19 = 194,867.98/x
  3. Step 3: Cross multiply
    294,262.88x = 441,392.19 × 194,867.98
  4. Step 4: Simplify right side
    294,262.88x = 86,013,204,453.08
  5. Step 5: Solve for x
    x = 86,013,204,453.08/294,262.88
  6. Step 6: Final answer
    x = 292,300.56

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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.