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Finding the Fourth Proportional to 802,232.40, 1,203,348.60 and 684,134.40

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Solution

The fourth proportional to 802,232.40, 1,203,348.60 and 684,134.40 is: 1,026,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,232.40 : 1,203,348.60 = 684,134.40 : x
  2. Step 2: Convert to fraction form
    802,232.40/1,203,348.60 = 684,134.40/x
  3. Step 3: Cross multiply
    802,232.40x = 1,203,348.60 × 684,134.40
  4. Step 4: Simplify right side
    802,232.40x = 823,252,172,451.84
  5. Step 5: Solve for x
    x = 823,252,172,451.84/802,232.40
  6. Step 6: Final answer
    x = 1,026,201.60

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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.