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Finding the Fourth Proportional to 334,163.84, 461,045.32 and 204,969.54

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Solution

The fourth proportional to 334,163.84, 461,045.32 and 204,969.54 is: 282,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,163.84 : 461,045.32 = 204,969.54 : x
  2. Step 2: Convert to fraction form
    334,163.84/461,045.32 = 204,969.54/x
  3. Step 3: Cross multiply
    334,163.84x = 461,045.32 × 204,969.54
  4. Step 4: Simplify right side
    334,163.84x = 94,500,247,159.55
  5. Step 5: Solve for x
    x = 94,500,247,159.55/334,163.84
  6. Step 6: Final answer
    x = 282,796.15

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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.