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Finding the Fourth Proportional to 341,516.62, 471,290.71 and 188,564.34

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Solution

The fourth proportional to 341,516.62, 471,290.71 and 188,564.34 is: 260,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,516.62 : 471,290.71 = 188,564.34 : x
  2. Step 2: Convert to fraction form
    341,516.62/471,290.71 = 188,564.34/x
  3. Step 3: Cross multiply
    341,516.62x = 471,290.71 × 188,564.34
  4. Step 4: Simplify right side
    341,516.62x = 88,868,621,679.28
  5. Step 5: Solve for x
    x = 88,868,621,679.28/341,516.62
  6. Step 6: Final answer
    x = 260,217.56

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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.