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Finding the Fourth Proportional to 306,502.20, 459,753.30 and 213,190.20

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Solution

The fourth proportional to 306,502.20, 459,753.30 and 213,190.20 is: 319,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.20 : 459,753.30 = 213,190.20 : x
  2. Step 2: Convert to fraction form
    306,502.20/459,753.30 = 213,190.20/x
  3. Step 3: Cross multiply
    306,502.20x = 459,753.30 × 213,190.20
  4. Step 4: Simplify right side
    306,502.20x = 98,014,897,977.66
  5. Step 5: Solve for x
    x = 98,014,897,977.66/306,502.20
  6. Step 6: Final answer
    x = 319,785.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.