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Finding the Fourth Proportional to 590,289.26, 814,595.42 and 335,640.47

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Solution

The fourth proportional to 590,289.26, 814,595.42 and 335,640.47 is: 463,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,289.26 : 814,595.42 = 335,640.47 : x
  2. Step 2: Convert to fraction form
    590,289.26/814,595.42 = 335,640.47/x
  3. Step 3: Cross multiply
    590,289.26x = 814,595.42 × 335,640.47
  4. Step 4: Simplify right side
    590,289.26x = 273,411,187,561.53
  5. Step 5: Solve for x
    x = 273,411,187,561.53/590,289.26
  6. Step 6: Final answer
    x = 463,181.71

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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.