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Finding the Fourth Proportional to 423,832.21, 584,888.66 and 232,857.88

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Solution

The fourth proportional to 423,832.21, 584,888.66 and 232,857.88 is: 321,343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,832.21 : 584,888.66 = 232,857.88 : x
  2. Step 2: Convert to fraction form
    423,832.21/584,888.66 = 232,857.88/x
  3. Step 3: Cross multiply
    423,832.21x = 584,888.66 × 232,857.88
  4. Step 4: Simplify right side
    423,832.21x = 136,195,933,403.64
  5. Step 5: Solve for x
    x = 136,195,933,403.64/423,832.21
  6. Step 6: Final answer
    x = 321,343.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.