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Finding the Fourth Proportional to 402,004.24, 602,914.26 and 239,944

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Solution

The fourth proportional to 402,004.24, 602,914.26 and 239,944 is: 359,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,004.24 : 602,914.26 = 239,944 : x
  2. Step 2: Convert to fraction form
    402,004.24/602,914.26 = 239,944/x
  3. Step 3: Cross multiply
    402,004.24x = 602,914.26 × 239,944
  4. Step 4: Simplify right side
    402,004.24x = 144,665,659,201.44
  5. Step 5: Solve for x
    x = 144,665,659,201.44/402,004.24
  6. Step 6: Final answer
    x = 359,861.03

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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.