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Finding the Fourth Proportional to 821,694.40, 1,233,808.80 and 448,446.40

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Solution

The fourth proportional to 821,694.40, 1,233,808.80 and 448,446.40 is: 673,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,694.40 : 1,233,808.80 = 448,446.40 : x
  2. Step 2: Convert to fraction form
    821,694.40/1,233,808.80 = 448,446.40/x
  3. Step 3: Cross multiply
    821,694.40x = 1,233,808.80 × 448,446.40
  4. Step 4: Simplify right side
    821,694.40x = 553,297,114,648.32
  5. Step 5: Solve for x
    x = 553,297,114,648.32/821,694.40
  6. Step 6: Final answer
    x = 673,361.18

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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.