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Finding the Fourth Proportional to 366,308.16, 505,506.81 and 213,451.22

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Solution

The fourth proportional to 366,308.16, 505,506.81 and 213,451.22 is: 294,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,308.16 : 505,506.81 = 213,451.22 : x
  2. Step 2: Convert to fraction form
    366,308.16/505,506.81 = 213,451.22/x
  3. Step 3: Cross multiply
    366,308.16x = 505,506.81 × 213,451.22
  4. Step 4: Simplify right side
    366,308.16x = 107,901,043,332.88
  5. Step 5: Solve for x
    x = 107,901,043,332.88/366,308.16
  6. Step 6: Final answer
    x = 294,563.58

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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.