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Finding the Fourth Proportional to 659,164.52, 909,744.14 and 417,469.52

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Solution

The fourth proportional to 659,164.52, 909,744.14 and 417,469.52 is: 576,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,164.52 : 909,744.14 = 417,469.52 : x
  2. Step 2: Convert to fraction form
    659,164.52/909,744.14 = 417,469.52/x
  3. Step 3: Cross multiply
    659,164.52x = 909,744.14 × 417,469.52
  4. Step 4: Simplify right side
    659,164.52x = 379,790,449,448.61
  5. Step 5: Solve for x
    x = 379,790,449,448.61/659,164.52
  6. Step 6: Final answer
    x = 576,169.44

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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.