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Finding the Fourth Proportional to 334,582.61, 461,611.57 and 213,794.60

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Solution

The fourth proportional to 334,582.61, 461,611.57 and 213,794.60 is: 294,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,582.61 : 461,611.57 = 213,794.60 : x
  2. Step 2: Convert to fraction form
    334,582.61/461,611.57 = 213,794.60/x
  3. Step 3: Cross multiply
    334,582.61x = 461,611.57 × 213,794.60
  4. Step 4: Simplify right side
    334,582.61x = 98,690,060,963.52
  5. Step 5: Solve for x
    x = 98,690,060,963.52/334,582.61
  6. Step 6: Final answer
    x = 294,964.71

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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.