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Finding the Fourth Proportional to 501,004.34, 691,414.54 and 297,175.94

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Solution

The fourth proportional to 501,004.34, 691,414.54 and 297,175.94 is: 410,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,004.34 : 691,414.54 = 297,175.94 : x
  2. Step 2: Convert to fraction form
    501,004.34/691,414.54 = 297,175.94/x
  3. Step 3: Cross multiply
    501,004.34x = 691,414.54 × 297,175.94
  4. Step 4: Simplify right side
    501,004.34x = 205,471,765,854.17
  5. Step 5: Solve for x
    x = 205,471,765,854.17/501,004.34
  6. Step 6: Final answer
    x = 410,119.73

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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.