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Finding the Fourth Proportional to 590,215.12, 814,499.44 and 321,948.88

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Solution

The fourth proportional to 590,215.12, 814,499.44 and 321,948.88 is: 444,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,215.12 : 814,499.44 = 321,948.88 : x
  2. Step 2: Convert to fraction form
    590,215.12/814,499.44 = 321,948.88/x
  3. Step 3: Cross multiply
    590,215.12x = 814,499.44 × 321,948.88
  4. Step 4: Simplify right side
    590,215.12x = 262,227,182,468.63
  5. Step 5: Solve for x
    x = 262,227,182,468.63/590,215.12
  6. Step 6: Final answer
    x = 444,290.86

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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.