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Finding the Fourth Proportional to 802,114.93, 1,203,440.37 and 262,395.82

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Solution

The fourth proportional to 802,114.93, 1,203,440.37 and 262,395.82 is: 393,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,114.93 : 1,203,440.37 = 262,395.82 : x
  2. Step 2: Convert to fraction form
    802,114.93/1,203,440.37 = 262,395.82/x
  3. Step 3: Cross multiply
    802,114.93x = 1,203,440.37 × 262,395.82
  4. Step 4: Simplify right side
    802,114.93x = 315,777,722,707.25
  5. Step 5: Solve for x
    x = 315,777,722,707.25/802,114.93
  6. Step 6: Final answer
    x = 393,681.39

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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.