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Finding the Fourth Proportional to 386,267.39, 533,050.14 and 214,197.47

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Solution

The fourth proportional to 386,267.39, 533,050.14 and 214,197.47 is: 295,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,267.39 : 533,050.14 = 214,197.47 : x
  2. Step 2: Convert to fraction form
    386,267.39/533,050.14 = 214,197.47/x
  3. Step 3: Cross multiply
    386,267.39x = 533,050.14 × 214,197.47
  4. Step 4: Simplify right side
    386,267.39x = 114,177,988,705.90
  5. Step 5: Solve for x
    x = 114,177,988,705.90/386,267.39
  6. Step 6: Final answer
    x = 295,593.14

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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.