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Finding the Fourth Proportional to 341,090.56, 470,698.56 and 188,143.12

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Solution

The fourth proportional to 341,090.56, 470,698.56 and 188,143.12 is: 259,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,090.56 : 470,698.56 = 188,143.12 : x
  2. Step 2: Convert to fraction form
    341,090.56/470,698.56 = 188,143.12/x
  3. Step 3: Cross multiply
    341,090.56x = 470,698.56 × 188,143.12
  4. Step 4: Simplify right side
    341,090.56x = 88,558,695,657.91
  5. Step 5: Solve for x
    x = 88,558,695,657.91/341,090.56
  6. Step 6: Final answer
    x = 259,633.97

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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.