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Finding the Fourth Proportional to 474,157.24, 654,336.96 and 259,297.44

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Solution

The fourth proportional to 474,157.24, 654,336.96 and 259,297.44 is: 357,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,157.24 : 654,336.96 = 259,297.44 : x
  2. Step 2: Convert to fraction form
    474,157.24/654,336.96 = 259,297.44/x
  3. Step 3: Cross multiply
    474,157.24x = 654,336.96 × 259,297.44
  4. Step 4: Simplify right side
    474,157.24x = 169,667,898,625.38
  5. Step 5: Solve for x
    x = 169,667,898,625.38/474,157.24
  6. Step 6: Final answer
    x = 357,830.45

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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.