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Finding the Fourth Proportional to 427,823.48, 590,403.42 and 234,227.98

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Solution

The fourth proportional to 427,823.48, 590,403.42 and 234,227.98 is: 323,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,823.48 : 590,403.42 = 234,227.98 : x
  2. Step 2: Convert to fraction form
    427,823.48/590,403.42 = 234,227.98/x
  3. Step 3: Cross multiply
    427,823.48x = 590,403.42 × 234,227.98
  4. Step 4: Simplify right side
    427,823.48x = 138,288,996,328.54
  5. Step 5: Solve for x
    x = 138,288,996,328.54/427,823.48
  6. Step 6: Final answer
    x = 323,238.44

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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.