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Finding the Fourth Proportional to 298,541.88, 411,552.54 and 226,797.36

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Solution

The fourth proportional to 298,541.88, 411,552.54 and 226,797.36 is: 312,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,541.88 : 411,552.54 = 226,797.36 : x
  2. Step 2: Convert to fraction form
    298,541.88/411,552.54 = 226,797.36/x
  3. Step 3: Cross multiply
    298,541.88x = 411,552.54 × 226,797.36
  4. Step 4: Simplify right side
    298,541.88x = 93,339,029,573.29
  5. Step 5: Solve for x
    x = 93,339,029,573.29/298,541.88
  6. Step 6: Final answer
    x = 312,649.70

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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.