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Finding the Fourth Proportional to 341,420.34, 471,160.09 and 188,458.57

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Solution

The fourth proportional to 341,420.34, 471,160.09 and 188,458.57 is: 260,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,420.34 : 471,160.09 = 188,458.57 : x
  2. Step 2: Convert to fraction form
    341,420.34/471,160.09 = 188,458.57/x
  3. Step 3: Cross multiply
    341,420.34x = 471,160.09 × 188,458.57
  4. Step 4: Simplify right side
    341,420.34x = 88,794,155,624.57
  5. Step 5: Solve for x
    x = 88,794,155,624.57/341,420.34
  6. Step 6: Final answer
    x = 260,072.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.