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Finding the Fourth Proportional to 320,297.82, 441,724.62 and 265,763.58

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Solution

The fourth proportional to 320,297.82, 441,724.62 and 265,763.58 is: 366,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,297.82 : 441,724.62 = 265,763.58 : x
  2. Step 2: Convert to fraction form
    320,297.82/441,724.62 = 265,763.58/x
  3. Step 3: Cross multiply
    320,297.82x = 441,724.62 × 265,763.58
  4. Step 4: Simplify right side
    320,297.82x = 117,394,316,385.34
  5. Step 5: Solve for x
    x = 117,394,316,385.34/320,297.82
  6. Step 6: Final answer
    x = 366,516.13

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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.