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Finding the Fourth Proportional to 349,148.72, 523,952.73 and 191,487.89

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Solution

The fourth proportional to 349,148.72, 523,952.73 and 191,487.89 is: 287,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,148.72 : 523,952.73 = 191,487.89 : x
  2. Step 2: Convert to fraction form
    349,148.72/523,952.73 = 191,487.89/x
  3. Step 3: Cross multiply
    349,148.72x = 523,952.73 × 191,487.89
  4. Step 4: Simplify right side
    349,148.72x = 100,330,600,107.68
  5. Step 5: Solve for x
    x = 100,330,600,107.68/349,148.72
  6. Step 6: Final answer
    x = 287,357.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.