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Finding the Fourth Proportional to 341,256.31, 470,960.12 and 188,324.87

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Solution

The fourth proportional to 341,256.31, 470,960.12 and 188,324.87 is: 259,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,256.31 : 470,960.12 = 188,324.87 : x
  2. Step 2: Convert to fraction form
    341,256.31/470,960.12 = 188,324.87/x
  3. Step 3: Cross multiply
    341,256.31x = 470,960.12 × 188,324.87
  4. Step 4: Simplify right side
    341,256.31x = 88,693,501,490.20
  5. Step 5: Solve for x
    x = 88,693,501,490.20/341,256.31
  6. Step 6: Final answer
    x = 259,902.89

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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.