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Finding the Fourth Proportional to 543,832.02, 815,830.74 and 277,447.02

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Solution

The fourth proportional to 543,832.02, 815,830.74 and 277,447.02 is: 416,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,832.02 : 815,830.74 = 277,447.02 : x
  2. Step 2: Convert to fraction form
    543,832.02/815,830.74 = 277,447.02/x
  3. Step 3: Cross multiply
    543,832.02x = 815,830.74 × 277,447.02
  4. Step 4: Simplify right side
    543,832.02x = 226,349,807,637.40
  5. Step 5: Solve for x
    x = 226,349,807,637.40/543,832.02
  6. Step 6: Final answer
    x = 416,212.73

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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.