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Finding the Fourth Proportional to 427,949.76, 590,557.32 and 234,348.96

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Solution

The fourth proportional to 427,949.76, 590,557.32 and 234,348.96 is: 323,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,949.76 : 590,557.32 = 234,348.96 : x
  2. Step 2: Convert to fraction form
    427,949.76/590,557.32 = 234,348.96/x
  3. Step 3: Cross multiply
    427,949.76x = 590,557.32 × 234,348.96
  4. Step 4: Simplify right side
    427,949.76x = 138,396,493,762.39
  5. Step 5: Solve for x
    x = 138,396,493,762.39/427,949.76
  6. Step 6: Final answer
    x = 323,394.25

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Why These Related Problems?

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