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Finding the Fourth Proportional to 369,912.72, 510,424.82 and 224,642.95

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Solution

The fourth proportional to 369,912.72, 510,424.82 and 224,642.95 is: 309,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,912.72 : 510,424.82 = 224,642.95 : x
  2. Step 2: Convert to fraction form
    369,912.72/510,424.82 = 224,642.95/x
  3. Step 3: Cross multiply
    369,912.72x = 510,424.82 × 224,642.95
  4. Step 4: Simplify right side
    369,912.72x = 114,663,336,194.80
  5. Step 5: Solve for x
    x = 114,663,336,194.80/369,912.72
  6. Step 6: Final answer
    x = 309,974.03

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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.