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Finding the Fourth Proportional to 307,749.40, 424,619.38 and 180,400.39

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Solution

The fourth proportional to 307,749.40, 424,619.38 and 180,400.39 is: 248,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,749.40 : 424,619.38 = 180,400.39 : x
  2. Step 2: Convert to fraction form
    307,749.40/424,619.38 = 180,400.39/x
  3. Step 3: Cross multiply
    307,749.40x = 424,619.38 × 180,400.39
  4. Step 4: Simplify right side
    307,749.40x = 76,601,501,350.69
  5. Step 5: Solve for x
    x = 76,601,501,350.69/307,749.40
  6. Step 6: Final answer
    x = 248,908.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.