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Finding the Fourth Proportional to 590,291.29, 814,598.17 and 335,642.46

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Solution

The fourth proportional to 590,291.29, 814,598.17 and 335,642.46 is: 463,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,291.29 : 814,598.17 = 335,642.46 : x
  2. Step 2: Convert to fraction form
    590,291.29/814,598.17 = 335,642.46/x
  3. Step 3: Cross multiply
    590,291.29x = 814,598.17 × 335,642.46
  4. Step 4: Simplify right side
    590,291.29x = 273,413,733,690.30
  5. Step 5: Solve for x
    x = 273,413,733,690.30/590,291.29
  6. Step 6: Final answer
    x = 463,184.43

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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.