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Finding the Fourth Proportional to 339,829, 468,964.58 and 188,926

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Solution

The fourth proportional to 339,829, 468,964.58 and 188,926 is: 260,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,829 : 468,964.58 = 188,926 : x
  2. Step 2: Convert to fraction form
    339,829/468,964.58 = 188,926/x
  3. Step 3: Cross multiply
    339,829x = 468,964.58 × 188,926
  4. Step 4: Simplify right side
    339,829x = 88,599,602,241.08
  5. Step 5: Solve for x
    x = 88,599,602,241.08/339,829
  6. Step 6: Final answer
    x = 260,718.19

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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.