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Finding the Fourth Proportional to 307,498.26, 424,358.13 and 178,427.01

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Solution

The fourth proportional to 307,498.26, 424,358.13 and 178,427.01 is: 246,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,498.26 : 424,358.13 = 178,427.01 : x
  2. Step 2: Convert to fraction form
    307,498.26/424,358.13 = 178,427.01/x
  3. Step 3: Cross multiply
    307,498.26x = 424,358.13 × 178,427.01
  4. Step 4: Simplify right side
    307,498.26x = 75,716,952,305.09
  5. Step 5: Solve for x
    x = 75,716,952,305.09/307,498.26
  6. Step 6: Final answer
    x = 246,235.38

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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.