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Finding the Fourth Proportional to 386,297.47, 533,089.67 and 214,211.17

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Solution

The fourth proportional to 386,297.47, 533,089.67 and 214,211.17 is: 295,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,297.47 : 533,089.67 = 214,211.17 : x
  2. Step 2: Convert to fraction form
    386,297.47/533,089.67 = 214,211.17/x
  3. Step 3: Cross multiply
    386,297.47x = 533,089.67 × 214,211.17
  4. Step 4: Simplify right side
    386,297.47x = 114,193,759,727.23
  5. Step 5: Solve for x
    x = 114,193,759,727.23/386,297.47
  6. Step 6: Final answer
    x = 295,610.94

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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.