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Finding the Fourth Proportional to 386,290.92, 533,087.95 and 214,216.14

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Solution

The fourth proportional to 386,290.92, 533,087.95 and 214,216.14 is: 295,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,290.92 : 533,087.95 = 214,216.14 : x
  2. Step 2: Convert to fraction form
    386,290.92/533,087.95 = 214,216.14/x
  3. Step 3: Cross multiply
    386,290.92x = 533,087.95 × 214,216.14
  4. Step 4: Simplify right side
    386,290.92x = 114,196,044,794.71
  5. Step 5: Solve for x
    x = 114,196,044,794.71/386,290.92
  6. Step 6: Final answer
    x = 295,621.87

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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.