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Finding the Fourth Proportional to 584,091.28, 806,410.84 and 447,863.51

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Solution

The fourth proportional to 584,091.28, 806,410.84 and 447,863.51 is: 618,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,091.28 : 806,410.84 = 447,863.51 : x
  2. Step 2: Convert to fraction form
    584,091.28/806,410.84 = 447,863.51/x
  3. Step 3: Cross multiply
    584,091.28x = 806,410.84 × 447,863.51
  4. Step 4: Simplify right side
    584,091.28x = 361,161,984,152.74
  5. Step 5: Solve for x
    x = 361,161,984,152.74/584,091.28
  6. Step 6: Final answer
    x = 618,331.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.