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Finding the Fourth Proportional to 349,334.40, 523,418.40 and 299,179.20

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Solution

The fourth proportional to 349,334.40, 523,418.40 and 299,179.20 is: 448,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,334.40 : 523,418.40 = 299,179.20 : x
  2. Step 2: Convert to fraction form
    349,334.40/523,418.40 = 299,179.20/x
  3. Step 3: Cross multiply
    349,334.40x = 523,418.40 × 299,179.20
  4. Step 4: Simplify right side
    349,334.40x = 156,595,898,177.28
  5. Step 5: Solve for x
    x = 156,595,898,177.28/349,334.40
  6. Step 6: Final answer
    x = 448,269.33

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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.