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Finding the Fourth Proportional to 1,434,663.54, 1,979,759.88 and 822,784.68

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Solution

The fourth proportional to 1,434,663.54, 1,979,759.88 and 822,784.68 is: 1,135,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,663.54 : 1,979,759.88 = 822,784.68 : x
  2. Step 2: Convert to fraction form
    1,434,663.54/1,979,759.88 = 822,784.68/x
  3. Step 3: Cross multiply
    1,434,663.54x = 1,979,759.88 × 822,784.68
  4. Step 4: Simplify right side
    1,434,663.54x = 1,628,916,099,342.64
  5. Step 5: Solve for x
    x = 1,628,916,099,342.64/1,434,663.54
  6. Step 6: Final answer
    x = 1,135,399.38

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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.