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Finding the Fourth Proportional to 340,695.36, 470,168.28 and 189,795.60

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Solution

The fourth proportional to 340,695.36, 470,168.28 and 189,795.60 is: 261,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,695.36 : 470,168.28 = 189,795.60 : x
  2. Step 2: Convert to fraction form
    340,695.36/470,168.28 = 189,795.60/x
  3. Step 3: Cross multiply
    340,695.36x = 470,168.28 × 189,795.60
  4. Step 4: Simplify right side
    340,695.36x = 89,235,870,803.57
  5. Step 5: Solve for x
    x = 89,235,870,803.57/340,695.36
  6. Step 6: Final answer
    x = 261,922.77

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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.