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Finding the Fourth Proportional to 341,154.42, 470,771.79 and 188,194.38

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Solution

The fourth proportional to 341,154.42, 470,771.79 and 188,194.38 is: 259,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,154.42 : 470,771.79 = 188,194.38 : x
  2. Step 2: Convert to fraction form
    341,154.42/470,771.79 = 188,194.38/x
  3. Step 3: Cross multiply
    341,154.42x = 470,771.79 × 188,194.38
  4. Step 4: Simplify right side
    341,154.42x = 88,596,605,140.54
  5. Step 5: Solve for x
    x = 88,596,605,140.54/341,154.42
  6. Step 6: Final answer
    x = 259,696.49

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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.