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Finding the Fourth Proportional to 386,234.13, 533,034.48 and 214,169.20

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Solution

The fourth proportional to 386,234.13, 533,034.48 and 214,169.20 is: 295,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,234.13 : 533,034.48 = 214,169.20 : x
  2. Step 2: Convert to fraction form
    386,234.13/533,034.48 = 214,169.20/x
  3. Step 3: Cross multiply
    386,234.13x = 533,034.48 × 214,169.20
  4. Step 4: Simplify right side
    386,234.13x = 114,159,568,154.02
  5. Step 5: Solve for x
    x = 114,159,568,154.02/386,234.13
  6. Step 6: Final answer
    x = 295,570.90

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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.