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Finding the Fourth Proportional to 504,812.86, 756,997.45 and 189,048.33

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Solution

The fourth proportional to 504,812.86, 756,997.45 and 189,048.33 is: 283,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,812.86 : 756,997.45 = 189,048.33 : x
  2. Step 2: Convert to fraction form
    504,812.86/756,997.45 = 189,048.33/x
  3. Step 3: Cross multiply
    504,812.86x = 756,997.45 × 189,048.33
  4. Step 4: Simplify right side
    504,812.86x = 143,109,103,264.14
  5. Step 5: Solve for x
    x = 143,109,103,264.14/504,812.86
  6. Step 6: Final answer
    x = 283,489.42

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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.