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Finding the Fourth Proportional to 598,561.90, 897,497.26 and 409,251.54

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Solution

The fourth proportional to 598,561.90, 897,497.26 and 409,251.54 is: 613,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,561.90 : 897,497.26 = 409,251.54 : x
  2. Step 2: Convert to fraction form
    598,561.90/897,497.26 = 409,251.54/x
  3. Step 3: Cross multiply
    598,561.90x = 897,497.26 × 409,251.54
  4. Step 4: Simplify right side
    598,561.90x = 367,302,135,396.88
  5. Step 5: Solve for x
    x = 367,302,135,396.88/598,561.90
  6. Step 6: Final answer
    x = 613,641.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.