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Finding the Fourth Proportional to 366,613.41, 505,925.30 and 213,742.11

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Solution

The fourth proportional to 366,613.41, 505,925.30 and 213,742.11 is: 294,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,613.41 : 505,925.30 = 213,742.11 : x
  2. Step 2: Convert to fraction form
    366,613.41/505,925.30 = 213,742.11/x
  3. Step 3: Cross multiply
    366,613.41x = 505,925.30 × 213,742.11
  4. Step 4: Simplify right side
    366,613.41x = 108,137,541,658.74
  5. Step 5: Solve for x
    x = 108,137,541,658.74/366,613.41
  6. Step 6: Final answer
    x = 294,963.41

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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.