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Finding the Fourth Proportional to 501,157.44, 691,697.80 and 297,321.54

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Solution

The fourth proportional to 501,157.44, 691,697.80 and 297,321.54 is: 410,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,157.44 : 691,697.80 = 297,321.54 : x
  2. Step 2: Convert to fraction form
    501,157.44/691,697.80 = 297,321.54/x
  3. Step 3: Cross multiply
    501,157.44x = 691,697.80 × 297,321.54
  4. Step 4: Simplify right side
    501,157.44x = 205,656,655,110.61
  5. Step 5: Solve for x
    x = 205,656,655,110.61/501,157.44
  6. Step 6: Final answer
    x = 410,363.37

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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.