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Finding the Fourth Proportional to 630,805.34, 946,221.44 and 226,023.98

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Solution

The fourth proportional to 630,805.34, 946,221.44 and 226,023.98 is: 339,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,805.34 : 946,221.44 = 226,023.98 : x
  2. Step 2: Convert to fraction form
    630,805.34/946,221.44 = 226,023.98/x
  3. Step 3: Cross multiply
    630,805.34x = 946,221.44 × 226,023.98
  4. Step 4: Simplify right side
    630,805.34x = 213,868,729,968.90
  5. Step 5: Solve for x
    x = 213,868,729,968.90/630,805.34
  6. Step 6: Final answer
    x = 339,040.78

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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.