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Finding the Fourth Proportional to 802,114.70, 1,203,127.77 and 269,580.74

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Solution

The fourth proportional to 802,114.70, 1,203,127.77 and 269,580.74 is: 404,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,114.70 : 1,203,127.77 = 269,580.74 : x
  2. Step 2: Convert to fraction form
    802,114.70/1,203,127.77 = 269,580.74/x
  3. Step 3: Cross multiply
    802,114.70x = 1,203,127.77 × 269,580.74
  4. Step 4: Simplify right side
    802,114.70x = 324,340,074,551.15
  5. Step 5: Solve for x
    x = 324,340,074,551.15/802,114.70
  6. Step 6: Final answer
    x = 404,356.23

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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.