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Finding the Fourth Proportional to 597,914.11, 825,019.99 and 343,259.83

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Solution

The fourth proportional to 597,914.11, 825,019.99 and 343,259.83 is: 473,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,914.11 : 825,019.99 = 343,259.83 : x
  2. Step 2: Convert to fraction form
    597,914.11/825,019.99 = 343,259.83/x
  3. Step 3: Cross multiply
    597,914.11x = 825,019.99 × 343,259.83
  4. Step 4: Simplify right side
    597,914.11x = 283,196,221,514.00
  5. Step 5: Solve for x
    x = 283,196,221,514.00/597,914.11
  6. Step 6: Final answer
    x = 473,640.31

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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.