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Finding the Fourth Proportional to 627,863.82, 866,428.20 and 341,384.14

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Solution

The fourth proportional to 627,863.82, 866,428.20 and 341,384.14 is: 471,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,863.82 : 866,428.20 = 341,384.14 : x
  2. Step 2: Convert to fraction form
    627,863.82/866,428.20 = 341,384.14/x
  3. Step 3: Cross multiply
    627,863.82x = 866,428.20 × 341,384.14
  4. Step 4: Simplify right side
    627,863.82x = 295,784,845,928.75
  5. Step 5: Solve for x
    x = 295,784,845,928.75/627,863.82
  6. Step 6: Final answer
    x = 471,097.13

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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.