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Finding the Fourth Proportional to 341,037.73, 470,640.34 and 188,078.14

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Solution

The fourth proportional to 341,037.73, 470,640.34 and 188,078.14 is: 259,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,037.73 : 470,640.34 = 188,078.14 : x
  2. Step 2: Convert to fraction form
    341,037.73/470,640.34 = 188,078.14/x
  3. Step 3: Cross multiply
    341,037.73x = 470,640.34 × 188,078.14
  4. Step 4: Simplify right side
    341,037.73x = 88,517,159,756.17
  5. Step 5: Solve for x
    x = 88,517,159,756.17/341,037.73
  6. Step 6: Final answer
    x = 259,552.40

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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.