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Finding the Fourth Proportional to 427,821.29, 590,400.39 and 234,225.79

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Solution

The fourth proportional to 427,821.29, 590,400.39 and 234,225.79 is: 323,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,821.29 : 590,400.39 = 234,225.79 : x
  2. Step 2: Convert to fraction form
    427,821.29/590,400.39 = 234,225.79/x
  3. Step 3: Cross multiply
    427,821.29x = 590,400.39 × 234,225.79
  4. Step 4: Simplify right side
    427,821.29x = 138,286,997,166.40
  5. Step 5: Solve for x
    x = 138,286,997,166.40/427,821.29
  6. Step 6: Final answer
    x = 323,235.43

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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.