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Finding the Fourth Proportional to 341,460.34, 471,202.92 and 188,495.25

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Solution

The fourth proportional to 341,460.34, 471,202.92 and 188,495.25 is: 260,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,460.34 : 471,202.92 = 188,495.25 : x
  2. Step 2: Convert to fraction form
    341,460.34/471,202.92 = 188,495.25/x
  3. Step 3: Cross multiply
    341,460.34x = 471,202.92 × 188,495.25
  4. Step 4: Simplify right side
    341,460.34x = 88,819,508,907.64
  5. Step 5: Solve for x
    x = 88,819,508,907.64/341,460.34
  6. Step 6: Final answer
    x = 260,116.62

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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.