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Finding the Fourth Proportional to 386,713.96, 533,657.22 and 214,621.93

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Solution

The fourth proportional to 386,713.96, 533,657.22 and 214,621.93 is: 296,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,713.96 : 533,657.22 = 214,621.93 : x
  2. Step 2: Convert to fraction form
    386,713.96/533,657.22 = 214,621.93/x
  3. Step 3: Cross multiply
    386,713.96x = 533,657.22 × 214,621.93
  4. Step 4: Simplify right side
    386,713.96x = 114,534,542,514.84
  5. Step 5: Solve for x
    x = 114,534,542,514.84/386,713.96
  6. Step 6: Final answer
    x = 296,173.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.