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Finding the Fourth Proportional to 619,250, 854,564.74 and 361,077.13

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Solution

The fourth proportional to 619,250, 854,564.74 and 361,077.13 is: 498,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,250 : 854,564.74 = 361,077.13 : x
  2. Step 2: Convert to fraction form
    619,250/854,564.74 = 361,077.13/x
  3. Step 3: Cross multiply
    619,250x = 854,564.74 × 361,077.13
  4. Step 4: Simplify right side
    619,250x = 308,563,777,640.19
  5. Step 5: Solve for x
    x = 308,563,777,640.19/619,250
  6. Step 6: Final answer
    x = 498,286.28

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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.