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Finding the Fourth Proportional to 590,294.21, 814,531.21 and 335,650.86

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Solution

The fourth proportional to 590,294.21, 814,531.21 and 335,650.86 is: 463,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,294.21 : 814,531.21 = 335,650.86 : x
  2. Step 2: Convert to fraction form
    590,294.21/814,531.21 = 335,650.86/x
  3. Step 3: Cross multiply
    590,294.21x = 814,531.21 × 335,650.86
  4. Step 4: Simplify right side
    590,294.21x = 273,398,100,294.21
  5. Step 5: Solve for x
    x = 273,398,100,294.21/590,294.21
  6. Step 6: Final answer
    x = 463,155.66

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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.