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Finding the Fourth Proportional to 397,307.20, 596,191.20 and 148,014.40

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Solution

The fourth proportional to 397,307.20, 596,191.20 and 148,014.40 is: 222,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,307.20 : 596,191.20 = 148,014.40 : x
  2. Step 2: Convert to fraction form
    397,307.20/596,191.20 = 148,014.40/x
  3. Step 3: Cross multiply
    397,307.20x = 596,191.20 × 148,014.40
  4. Step 4: Simplify right side
    397,307.20x = 88,244,882,753.28
  5. Step 5: Solve for x
    x = 88,244,882,753.28/397,307.20
  6. Step 6: Final answer
    x = 222,107.43

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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.