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Finding the Fourth Proportional to 630,722.90, 946,208.97 and 231,367.14

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Solution

The fourth proportional to 630,722.90, 946,208.97 and 231,367.14 is: 347,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,722.90 : 946,208.97 = 231,367.14 : x
  2. Step 2: Convert to fraction form
    630,722.90/946,208.97 = 231,367.14/x
  3. Step 3: Cross multiply
    630,722.90x = 946,208.97 × 231,367.14
  4. Step 4: Simplify right side
    630,722.90x = 218,921,663,231.25
  5. Step 5: Solve for x
    x = 218,921,663,231.25/630,722.90
  6. Step 6: Final answer
    x = 347,096.42

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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.