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Finding the Fourth Proportional to 386,303.14, 533,099.58 and 214,233.40

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Solution

The fourth proportional to 386,303.14, 533,099.58 and 214,233.40 is: 295,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,303.14 : 533,099.58 = 214,233.40 : x
  2. Step 2: Convert to fraction form
    386,303.14/533,099.58 = 214,233.40/x
  3. Step 3: Cross multiply
    386,303.14x = 533,099.58 × 214,233.40
  4. Step 4: Simplify right side
    386,303.14x = 114,207,735,561.97
  5. Step 5: Solve for x
    x = 114,207,735,561.97/386,303.14
  6. Step 6: Final answer
    x = 295,642.78

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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.