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Finding the Fourth Proportional to 386,026.22, 532,703.30 and 213,936.86

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Solution

The fourth proportional to 386,026.22, 532,703.30 and 213,936.86 is: 295,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,026.22 : 532,703.30 = 213,936.86 : x
  2. Step 2: Convert to fraction form
    386,026.22/532,703.30 = 213,936.86/x
  3. Step 3: Cross multiply
    386,026.22x = 532,703.30 × 213,936.86
  4. Step 4: Simplify right side
    386,026.22x = 113,964,871,313.64
  5. Step 5: Solve for x
    x = 113,964,871,313.64/386,026.22
  6. Step 6: Final answer
    x = 295,225.73

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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.