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Finding the Fourth Proportional to 644,023.20, 966,034.80 and 194,813.40

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Solution

The fourth proportional to 644,023.20, 966,034.80 and 194,813.40 is: 292,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,023.20 : 966,034.80 = 194,813.40 : x
  2. Step 2: Convert to fraction form
    644,023.20/966,034.80 = 194,813.40/x
  3. Step 3: Cross multiply
    644,023.20x = 966,034.80 × 194,813.40
  4. Step 4: Simplify right side
    644,023.20x = 188,196,523,906.32
  5. Step 5: Solve for x
    x = 188,196,523,906.32/644,023.20
  6. Step 6: Final answer
    x = 292,220.10

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