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Finding the Fourth Proportional to 596,659.74, 823,477.20 and 335,044.38

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Solution

The fourth proportional to 596,659.74, 823,477.20 and 335,044.38 is: 462,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,659.74 : 823,477.20 = 335,044.38 : x
  2. Step 2: Convert to fraction form
    596,659.74/823,477.20 = 335,044.38/x
  3. Step 3: Cross multiply
    596,659.74x = 823,477.20 × 335,044.38
  4. Step 4: Simplify right side
    596,659.74x = 275,901,407,918.14
  5. Step 5: Solve for x
    x = 275,901,407,918.14/596,659.74
  6. Step 6: Final answer
    x = 462,409.96

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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.