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Finding the Fourth Proportional to 340,900.38, 470,445.80 and 187,944.17

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Solution

The fourth proportional to 340,900.38, 470,445.80 and 187,944.17 is: 259,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,900.38 : 470,445.80 = 187,944.17 : x
  2. Step 2: Convert to fraction form
    340,900.38/470,445.80 = 187,944.17/x
  3. Step 3: Cross multiply
    340,900.38x = 470,445.80 × 187,944.17
  4. Step 4: Simplify right side
    340,900.38x = 88,417,542,119.04
  5. Step 5: Solve for x
    x = 88,417,542,119.04/340,900.38
  6. Step 6: Final answer
    x = 259,364.75

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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.