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Finding the Fourth Proportional to 306,077.70, 459,116.55 and 231,428.10

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Solution

The fourth proportional to 306,077.70, 459,116.55 and 231,428.10 is: 347,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,077.70 : 459,116.55 = 231,428.10 : x
  2. Step 2: Convert to fraction form
    306,077.70/459,116.55 = 231,428.10/x
  3. Step 3: Cross multiply
    306,077.70x = 459,116.55 × 231,428.10
  4. Step 4: Simplify right side
    306,077.70x = 106,252,470,845.06
  5. Step 5: Solve for x
    x = 106,252,470,845.06/306,077.70
  6. Step 6: Final answer
    x = 347,142.15

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Why These Related Problems?

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