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Finding the Fourth Proportional to 427,819.11, 590,397.35 and 234,223.56

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Solution

The fourth proportional to 427,819.11, 590,397.35 and 234,223.56 is: 323,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,819.11 : 590,397.35 = 234,223.56 : x
  2. Step 2: Convert to fraction form
    427,819.11/590,397.35 = 234,223.56/x
  3. Step 3: Cross multiply
    427,819.11x = 590,397.35 × 234,223.56
  4. Step 4: Simplify right side
    427,819.11x = 138,284,967,960.45
  5. Step 5: Solve for x
    x = 138,284,967,960.45/427,819.11
  6. Step 6: Final answer
    x = 323,232.33

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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.