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Finding the Fourth Proportional to 340,598.38, 470,025.77 and 189,695.38

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Solution

The fourth proportional to 340,598.38, 470,025.77 and 189,695.38 is: 261,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,598.38 : 470,025.77 = 189,695.38 : x
  2. Step 2: Convert to fraction form
    340,598.38/470,025.77 = 189,695.38/x
  3. Step 3: Cross multiply
    340,598.38x = 470,025.77 × 189,695.38
  4. Step 4: Simplify right side
    340,598.38x = 89,161,717,049.94
  5. Step 5: Solve for x
    x = 89,161,717,049.94/340,598.38
  6. Step 6: Final answer
    x = 261,779.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.