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Finding the Fourth Proportional to 467,364.86, 700,766.86 and 214,328.39

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Solution

The fourth proportional to 467,364.86, 700,766.86 and 214,328.39 is: 321,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,364.86 : 700,766.86 = 214,328.39 : x
  2. Step 2: Convert to fraction form
    467,364.86/700,766.86 = 214,328.39/x
  3. Step 3: Cross multiply
    467,364.86x = 700,766.86 × 214,328.39
  4. Step 4: Simplify right side
    467,364.86x = 150,194,233,254.43
  5. Step 5: Solve for x
    x = 150,194,233,254.43/467,364.86
  6. Step 6: Final answer
    x = 321,363.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.