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Finding the Fourth Proportional to 561,310.95, 842,597.40 and 224,589.15

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Solution

The fourth proportional to 561,310.95, 842,597.40 and 224,589.15 is: 337,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,310.95 : 842,597.40 = 224,589.15 : x
  2. Step 2: Convert to fraction form
    561,310.95/842,597.40 = 224,589.15/x
  3. Step 3: Cross multiply
    561,310.95x = 842,597.40 × 224,589.15
  4. Step 4: Simplify right side
    561,310.95x = 189,238,233,858.21
  5. Step 5: Solve for x
    x = 189,238,233,858.21/561,310.95
  6. Step 6: Final answer
    x = 337,136.19

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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.