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Finding the Fourth Proportional to 500,546.98, 750,814.13 and 121,470.82

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Solution

The fourth proportional to 500,546.98, 750,814.13 and 121,470.82 is: 182,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,546.98 : 750,814.13 = 121,470.82 : x
  2. Step 2: Convert to fraction form
    500,546.98/750,814.13 = 121,470.82/x
  3. Step 3: Cross multiply
    500,546.98x = 750,814.13 × 121,470.82
  4. Step 4: Simplify right side
    500,546.98x = 91,202,007,431.33
  5. Step 5: Solve for x
    x = 91,202,007,431.33/500,546.98
  6. Step 6: Final answer
    x = 182,204.69

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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.