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Finding the Fourth Proportional to 413,059.02, 619,469.37 and 113,549.37

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Solution

The fourth proportional to 413,059.02, 619,469.37 and 113,549.37 is: 170,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,059.02 : 619,469.37 = 113,549.37 : x
  2. Step 2: Convert to fraction form
    413,059.02/619,469.37 = 113,549.37/x
  3. Step 3: Cross multiply
    413,059.02x = 619,469.37 × 113,549.37
  4. Step 4: Simplify right side
    413,059.02x = 70,340,356,697.80
  5. Step 5: Solve for x
    x = 70,340,356,697.80/413,059.02
  6. Step 6: Final answer
    x = 170,291.30

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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.