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Finding the Fourth Proportional to 590,329.56, 814,654.94 and 335,696.36

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Solution

The fourth proportional to 590,329.56, 814,654.94 and 335,696.36 is: 463,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,329.56 : 814,654.94 = 335,696.36 : x
  2. Step 2: Convert to fraction form
    590,329.56/814,654.94 = 335,696.36/x
  3. Step 3: Cross multiply
    590,329.56x = 814,654.94 × 335,696.36
  4. Step 4: Simplify right side
    590,329.56x = 273,476,698,014.02
  5. Step 5: Solve for x
    x = 273,476,698,014.02/590,329.56
  6. Step 6: Final answer
    x = 463,261.06

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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.