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Finding the Fourth Proportional to 307,723.90, 461,539.68 and 97,334.50

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Solution

The fourth proportional to 307,723.90, 461,539.68 and 97,334.50 is: 145,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,723.90 : 461,539.68 = 97,334.50 : x
  2. Step 2: Convert to fraction form
    307,723.90/461,539.68 = 97,334.50/x
  3. Step 3: Cross multiply
    307,723.90x = 461,539.68 × 97,334.50
  4. Step 4: Simplify right side
    307,723.90x = 44,923,733,982.96
  5. Step 5: Solve for x
    x = 44,923,733,982.96/307,723.90
  6. Step 6: Final answer
    x = 145,987.15

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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.