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Finding the Fourth Proportional to 307,524.58, 461,284.10 and 97,162.50

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Solution

The fourth proportional to 307,524.58, 461,284.10 and 97,162.50 is: 145,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,524.58 : 461,284.10 = 97,162.50 : x
  2. Step 2: Convert to fraction form
    307,524.58/461,284.10 = 97,162.50/x
  3. Step 3: Cross multiply
    307,524.58x = 461,284.10 × 97,162.50
  4. Step 4: Simplify right side
    307,524.58x = 44,819,516,366.25
  5. Step 5: Solve for x
    x = 44,819,516,366.25/307,524.58
  6. Step 6: Final answer
    x = 145,742.87

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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.