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Finding the Fourth Proportional to 453,766.32, 680,490.72 and 133,833.24

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Solution

The fourth proportional to 453,766.32, 680,490.72 and 133,833.24 is: 200,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,766.32 : 680,490.72 = 133,833.24 : x
  2. Step 2: Convert to fraction form
    453,766.32/680,490.72 = 133,833.24/x
  3. Step 3: Cross multiply
    453,766.32x = 680,490.72 × 133,833.24
  4. Step 4: Simplify right side
    453,766.32x = 91,072,277,847.53
  5. Step 5: Solve for x
    x = 91,072,277,847.53/453,766.32
  6. Step 6: Final answer
    x = 200,703.04

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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.