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Finding the Fourth Proportional to 427,811.74, 590,387.19 and 234,216.21

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Solution

The fourth proportional to 427,811.74, 590,387.19 and 234,216.21 is: 323,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,811.74 : 590,387.19 = 234,216.21 : x
  2. Step 2: Convert to fraction form
    427,811.74/590,387.19 = 234,216.21/x
  3. Step 3: Cross multiply
    427,811.74x = 590,387.19 × 234,216.21
  4. Step 4: Simplify right side
    427,811.74x = 138,278,248,817.22
  5. Step 5: Solve for x
    x = 138,278,248,817.22/427,811.74
  6. Step 6: Final answer
    x = 323,222.19

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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.