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Finding the Fourth Proportional to 307,519.57, 461,276.61 and 97,157.50

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Solution

The fourth proportional to 307,519.57, 461,276.61 and 97,157.50 is: 145,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,519.57 : 461,276.61 = 97,157.50 : x
  2. Step 2: Convert to fraction form
    307,519.57/461,276.61 = 97,157.50/x
  3. Step 3: Cross multiply
    307,519.57x = 461,276.61 × 97,157.50
  4. Step 4: Simplify right side
    307,519.57x = 44,816,482,236.08
  5. Step 5: Solve for x
    x = 44,816,482,236.08/307,519.57
  6. Step 6: Final answer
    x = 145,735.38

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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.