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Finding the Fourth Proportional to 493,021.94, 739,643.54 and 156,082.73

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Solution

The fourth proportional to 493,021.94, 739,643.54 and 156,082.73 is: 234,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,021.94 : 739,643.54 = 156,082.73 : x
  2. Step 2: Convert to fraction form
    493,021.94/739,643.54 = 156,082.73/x
  3. Step 3: Cross multiply
    493,021.94x = 739,643.54 × 156,082.73
  4. Step 4: Simplify right side
    493,021.94x = 115,445,578,471.43
  5. Step 5: Solve for x
    x = 115,445,578,471.43/493,021.94
  6. Step 6: Final answer
    x = 234,159.11

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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.