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Finding the Fourth Proportional to 357,912.70, 493,922.74 and 194,569.52

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Solution

The fourth proportional to 357,912.70, 493,922.74 and 194,569.52 is: 268,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,912.70 : 493,922.74 = 194,569.52 : x
  2. Step 2: Convert to fraction form
    357,912.70/493,922.74 = 194,569.52/x
  3. Step 3: Cross multiply
    357,912.70x = 493,922.74 × 194,569.52
  4. Step 4: Simplify right side
    357,912.70x = 96,102,310,438.88
  5. Step 5: Solve for x
    x = 96,102,310,438.88/357,912.70
  6. Step 6: Final answer
    x = 268,507.68

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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.