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Finding the Fourth Proportional to 349,205.67, 523,369.73 and 149,291.09

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Solution

The fourth proportional to 349,205.67, 523,369.73 and 149,291.09 is: 223,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,205.67 : 523,369.73 = 149,291.09 : x
  2. Step 2: Convert to fraction form
    349,205.67/523,369.73 = 149,291.09/x
  3. Step 3: Cross multiply
    349,205.67x = 523,369.73 × 149,291.09
  4. Step 4: Simplify right side
    349,205.67x = 78,134,437,464.71
  5. Step 5: Solve for x
    x = 78,134,437,464.71/349,205.67
  6. Step 6: Final answer
    x = 223,749.05

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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.