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Finding the Fourth Proportional to 341,013.67, 470,588.04 and 188,058.31

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Solution

The fourth proportional to 341,013.67, 470,588.04 and 188,058.31 is: 259,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,013.67 : 470,588.04 = 188,058.31 : x
  2. Step 2: Convert to fraction form
    341,013.67/470,588.04 = 188,058.31/x
  3. Step 3: Cross multiply
    341,013.67x = 470,588.04 × 188,058.31
  4. Step 4: Simplify right side
    341,013.67x = 88,497,991,508.61
  5. Step 5: Solve for x
    x = 88,497,991,508.61/341,013.67
  6. Step 6: Final answer
    x = 259,514.50

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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.