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Finding the Fourth Proportional to 307,764.90, 461,690.55 and 97,380.90

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Solution

The fourth proportional to 307,764.90, 461,690.55 and 97,380.90 is: 146,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,764.90 : 461,690.55 = 97,380.90 : x
  2. Step 2: Convert to fraction form
    307,764.90/461,690.55 = 97,380.90/x
  3. Step 3: Cross multiply
    307,764.90x = 461,690.55 × 97,380.90
  4. Step 4: Simplify right side
    307,764.90x = 44,959,841,280.50
  5. Step 5: Solve for x
    x = 44,959,841,280.50/307,764.90
  6. Step 6: Final answer
    x = 146,085.02

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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.