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Finding the Fourth Proportional to 323,892.84, 446,740.74 and 280,795.29

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Solution

The fourth proportional to 323,892.84, 446,740.74 and 280,795.29 is: 387,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,892.84 : 446,740.74 = 280,795.29 : x
  2. Step 2: Convert to fraction form
    323,892.84/446,740.74 = 280,795.29/x
  3. Step 3: Cross multiply
    323,892.84x = 446,740.74 × 280,795.29
  4. Step 4: Simplify right side
    323,892.84x = 125,442,695,643.12
  5. Step 5: Solve for x
    x = 125,442,695,643.12/323,892.84
  6. Step 6: Final answer
    x = 387,296.91

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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.