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Finding the Fourth Proportional to 334,706.44, 460,524.24 and 289,238.68

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Solution

The fourth proportional to 334,706.44, 460,524.24 and 289,238.68 is: 397,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,706.44 : 460,524.24 = 289,238.68 : x
  2. Step 2: Convert to fraction form
    334,706.44/460,524.24 = 289,238.68/x
  3. Step 3: Cross multiply
    334,706.44x = 460,524.24 × 289,238.68
  4. Step 4: Simplify right side
    334,706.44x = 133,201,423,285.60
  5. Step 5: Solve for x
    x = 133,201,423,285.60/334,706.44
  6. Step 6: Final answer
    x = 397,964.92

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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.