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Finding the Fourth Proportional to 365,159.69, 547,287.37 and 206,908.37

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Solution

The fourth proportional to 365,159.69, 547,287.37 and 206,908.37 is: 310,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,159.69 : 547,287.37 = 206,908.37 : x
  2. Step 2: Convert to fraction form
    365,159.69/547,287.37 = 206,908.37/x
  3. Step 3: Cross multiply
    365,159.69x = 547,287.37 × 206,908.37
  4. Step 4: Simplify right side
    365,159.69x = 113,238,333,877.31
  5. Step 5: Solve for x
    x = 113,238,333,877.31/365,159.69
  6. Step 6: Final answer
    x = 310,106.34

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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.