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Finding the Fourth Proportional to 341,459.72, 471,202.06 and 188,494.63

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Solution

The fourth proportional to 341,459.72, 471,202.06 and 188,494.63 is: 260,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,459.72 : 471,202.06 = 188,494.63 : x
  2. Step 2: Convert to fraction form
    341,459.72/471,202.06 = 188,494.63/x
  3. Step 3: Cross multiply
    341,459.72x = 471,202.06 × 188,494.63
  4. Step 4: Simplify right side
    341,459.72x = 88,819,056,460.39
  5. Step 5: Solve for x
    x = 88,819,056,460.39/341,459.72
  6. Step 6: Final answer
    x = 260,115.77

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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.