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Finding the Fourth Proportional to 341,024.99, 470,608.26 and 188,077.31

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Solution

The fourth proportional to 341,024.99, 470,608.26 and 188,077.31 is: 259,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,024.99 : 470,608.26 = 188,077.31 : x
  2. Step 2: Convert to fraction form
    341,024.99/470,608.26 = 188,077.31/x
  3. Step 3: Cross multiply
    341,024.99x = 470,608.26 × 188,077.31
  4. Step 4: Simplify right side
    341,024.99x = 88,510,733,251.54
  5. Step 5: Solve for x
    x = 88,510,733,251.54/341,024.99
  6. Step 6: Final answer
    x = 259,543.25

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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.