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Finding the Fourth Proportional to 366,476.52, 505,727.06 and 213,548.52

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Solution

The fourth proportional to 366,476.52, 505,727.06 and 213,548.52 is: 294,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,476.52 : 505,727.06 = 213,548.52 : x
  2. Step 2: Convert to fraction form
    366,476.52/505,727.06 = 213,548.52/x
  3. Step 3: Cross multiply
    366,476.52x = 505,727.06 × 213,548.52
  4. Step 4: Simplify right side
    366,476.52x = 107,997,265,186.95
  5. Step 5: Solve for x
    x = 107,997,265,186.95/366,476.52
  6. Step 6: Final answer
    x = 294,690.82

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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.