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Finding the Fourth Proportional to 349,265.28, 523,975.44 and 191,412.48

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Solution

The fourth proportional to 349,265.28, 523,975.44 and 191,412.48 is: 287,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,265.28 : 523,975.44 = 191,412.48 : x
  2. Step 2: Convert to fraction form
    349,265.28/523,975.44 = 191,412.48/x
  3. Step 3: Cross multiply
    349,265.28x = 523,975.44 × 191,412.48
  4. Step 4: Simplify right side
    349,265.28x = 100,295,438,429.49
  5. Step 5: Solve for x
    x = 100,295,438,429.49/349,265.28
  6. Step 6: Final answer
    x = 287,161.20

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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.