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Finding the Fourth Proportional to 584,097.87, 806,419.97 and 447,870.12

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Solution

The fourth proportional to 584,097.87, 806,419.97 and 447,870.12 is: 618,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,097.87 : 806,419.97 = 447,870.12 : x
  2. Step 2: Convert to fraction form
    584,097.87/806,419.97 = 447,870.12/x
  3. Step 3: Cross multiply
    584,097.87x = 806,419.97 × 447,870.12
  4. Step 4: Simplify right side
    584,097.87x = 361,171,406,494.95
  5. Step 5: Solve for x
    x = 361,171,406,494.95/584,097.87
  6. Step 6: Final answer
    x = 618,340.56

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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.