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Finding the Fourth Proportional to 307,946.20, 461,832.90 and 97,648.60

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Solution

The fourth proportional to 307,946.20, 461,832.90 and 97,648.60 is: 146,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,946.20 : 461,832.90 = 97,648.60 : x
  2. Step 2: Convert to fraction form
    307,946.20/461,832.90 = 97,648.60/x
  3. Step 3: Cross multiply
    307,946.20x = 461,832.90 × 97,648.60
  4. Step 4: Simplify right side
    307,946.20x = 45,097,336,118.94
  5. Step 5: Solve for x
    x = 45,097,336,118.94/307,946.20
  6. Step 6: Final answer
    x = 146,445.50

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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.