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Finding the Fourth Proportional to 452,198.66, 678,312.48 and 227,436.42

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Solution

The fourth proportional to 452,198.66, 678,312.48 and 227,436.42 is: 341,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,198.66 : 678,312.48 = 227,436.42 : x
  2. Step 2: Convert to fraction form
    452,198.66/678,312.48 = 227,436.42/x
  3. Step 3: Cross multiply
    452,198.66x = 678,312.48 × 227,436.42
  4. Step 4: Simplify right side
    452,198.66x = 154,272,962,092.52
  5. Step 5: Solve for x
    x = 154,272,962,092.52/452,198.66
  6. Step 6: Final answer
    x = 341,161.92

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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.