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Finding the Fourth Proportional to 306,538.60, 459,822.30 and 96,183.40

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Solution

The fourth proportional to 306,538.60, 459,822.30 and 96,183.40 is: 144,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,538.60 : 459,822.30 = 96,183.40 : x
  2. Step 2: Convert to fraction form
    306,538.60/459,822.30 = 96,183.40/x
  3. Step 3: Cross multiply
    306,538.60x = 459,822.30 × 96,183.40
  4. Step 4: Simplify right side
    306,538.60x = 44,227,272,209.82
  5. Step 5: Solve for x
    x = 44,227,272,209.82/306,538.60
  6. Step 6: Final answer
    x = 144,279.62

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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.