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Finding the Fourth Proportional to 297,266.50, 445,946.19 and 97,541.47

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Solution

The fourth proportional to 297,266.50, 445,946.19 and 97,541.47 is: 146,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,266.50 : 445,946.19 = 97,541.47 : x
  2. Step 2: Convert to fraction form
    297,266.50/445,946.19 = 97,541.47/x
  3. Step 3: Cross multiply
    297,266.50x = 445,946.19 × 97,541.47
  4. Step 4: Simplify right side
    297,266.50x = 43,498,246,913.50
  5. Step 5: Solve for x
    x = 43,498,246,913.50/297,266.50
  6. Step 6: Final answer
    x = 146,327.44

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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.