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Finding the Fourth Proportional to 366,242.42, 505,291.59 and 213,247.84

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Solution

The fourth proportional to 366,242.42, 505,291.59 and 213,247.84 is: 294,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,242.42 : 505,291.59 = 213,247.84 : x
  2. Step 2: Convert to fraction form
    366,242.42/505,291.59 = 213,247.84/x
  3. Step 3: Cross multiply
    366,242.42x = 505,291.59 × 213,247.84
  4. Step 4: Simplify right side
    366,242.42x = 107,752,340,137.67
  5. Step 5: Solve for x
    x = 107,752,340,137.67/366,242.42
  6. Step 6: Final answer
    x = 294,210.43

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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.