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Finding the Fourth Proportional to 500,112.83, 690,150.38 and 270,665.09

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Solution

The fourth proportional to 500,112.83, 690,150.38 and 270,665.09 is: 373,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,112.83 : 690,150.38 = 270,665.09 : x
  2. Step 2: Convert to fraction form
    500,112.83/690,150.38 = 270,665.09/x
  3. Step 3: Cross multiply
    500,112.83x = 690,150.38 × 270,665.09
  4. Step 4: Simplify right side
    500,112.83x = 186,799,616,382.32
  5. Step 5: Solve for x
    x = 186,799,616,382.32/500,112.83
  6. Step 6: Final answer
    x = 373,514.94

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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.