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Finding the Fourth Proportional to 597,918.56, 825,164.37 and 343,308.02

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Solution

The fourth proportional to 597,918.56, 825,164.37 and 343,308.02 is: 473,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,918.56 : 825,164.37 = 343,308.02 : x
  2. Step 2: Convert to fraction form
    597,918.56/825,164.37 = 343,308.02/x
  3. Step 3: Cross multiply
    597,918.56x = 825,164.37 × 343,308.02
  4. Step 4: Simplify right side
    597,918.56x = 283,285,541,913.43
  5. Step 5: Solve for x
    x = 283,285,541,913.43/597,918.56
  6. Step 6: Final answer
    x = 473,786.17

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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.