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Finding the Fourth Proportional to 341,229.74, 470,895.74 and 188,277.46

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Solution

The fourth proportional to 341,229.74, 470,895.74 and 188,277.46 is: 259,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,229.74 : 470,895.74 = 188,277.46 : x
  2. Step 2: Convert to fraction form
    341,229.74/470,895.74 = 188,277.46/x
  3. Step 3: Cross multiply
    341,229.74x = 470,895.74 × 188,277.46
  4. Step 4: Simplify right side
    341,229.74x = 88,659,053,852.02
  5. Step 5: Solve for x
    x = 88,659,053,852.02/341,229.74
  6. Step 6: Final answer
    x = 259,822.18

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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.