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Finding the Fourth Proportional to 542,796.58, 814,196.95 and 227,031.98

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Solution

The fourth proportional to 542,796.58, 814,196.95 and 227,031.98 is: 340,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,796.58 : 814,196.95 = 227,031.98 : x
  2. Step 2: Convert to fraction form
    542,796.58/814,196.95 = 227,031.98/x
  3. Step 3: Cross multiply
    542,796.58x = 814,196.95 × 227,031.98
  4. Step 4: Simplify right side
    542,796.58x = 184,848,745,668.46
  5. Step 5: Solve for x
    x = 184,848,745,668.46/542,796.58
  6. Step 6: Final answer
    x = 340,548.84

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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.