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Finding the Fourth Proportional to 349,103.52, 523,884.92 and 191,442.69

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Solution

The fourth proportional to 349,103.52, 523,884.92 and 191,442.69 is: 287,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,103.52 : 523,884.92 = 191,442.69 : x
  2. Step 2: Convert to fraction form
    349,103.52/523,884.92 = 191,442.69/x
  3. Step 3: Cross multiply
    349,103.52x = 523,884.92 × 191,442.69
  4. Step 4: Simplify right side
    349,103.52x = 100,293,937,378.02
  5. Step 5: Solve for x
    x = 100,293,937,378.02/349,103.52
  6. Step 6: Final answer
    x = 287,289.96

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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.