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Finding the Fourth Proportional to 804,578.80, 1,206,511.80 and 271,955.20

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Solution

The fourth proportional to 804,578.80, 1,206,511.80 and 271,955.20 is: 407,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,578.80 : 1,206,511.80 = 271,955.20 : x
  2. Step 2: Convert to fraction form
    804,578.80/1,206,511.80 = 271,955.20/x
  3. Step 3: Cross multiply
    804,578.80x = 1,206,511.80 × 271,955.20
  4. Step 4: Simplify right side
    804,578.80x = 328,117,157,871.36
  5. Step 5: Solve for x
    x = 328,117,157,871.36/804,578.80
  6. Step 6: Final answer
    x = 407,812.33

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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.