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Finding the Fourth Proportional to 590,301.30, 814,611.98 and 335,652.46

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Solution

The fourth proportional to 590,301.30, 814,611.98 and 335,652.46 is: 463,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,301.30 : 814,611.98 = 335,652.46 : x
  2. Step 2: Convert to fraction form
    590,301.30/814,611.98 = 335,652.46/x
  3. Step 3: Cross multiply
    590,301.30x = 814,611.98 × 335,652.46
  4. Step 4: Simplify right side
    590,301.30x = 273,426,515,032.47
  5. Step 5: Solve for x
    x = 273,426,515,032.47/590,301.30
  6. Step 6: Final answer
    x = 463,198.23

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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.