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Finding the Fourth Proportional to 340,849.16, 470,362.42 and 189,942.28

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Solution

The fourth proportional to 340,849.16, 470,362.42 and 189,942.28 is: 262,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,849.16 : 470,362.42 = 189,942.28 : x
  2. Step 2: Convert to fraction form
    340,849.16/470,362.42 = 189,942.28/x
  3. Step 3: Cross multiply
    340,849.16x = 470,362.42 × 189,942.28
  4. Step 4: Simplify right side
    340,849.16x = 89,341,710,481.12
  5. Step 5: Solve for x
    x = 89,341,710,481.12/340,849.16
  6. Step 6: Final answer
    x = 262,115.10

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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.