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Finding the Fourth Proportional to 543,833.02, 815,832.24 and 277,448.02

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Solution

The fourth proportional to 543,833.02, 815,832.24 and 277,448.02 is: 416,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,833.02 : 815,832.24 = 277,448.02 : x
  2. Step 2: Convert to fraction form
    543,833.02/815,832.24 = 277,448.02/x
  3. Step 3: Cross multiply
    543,833.02x = 815,832.24 × 277,448.02
  4. Step 4: Simplify right side
    543,833.02x = 226,351,039,640.17
  5. Step 5: Solve for x
    x = 226,351,039,640.17/543,833.02
  6. Step 6: Final answer
    x = 416,214.23

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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.