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Finding the Fourth Proportional to 802,105, 1,106,904.90 and 444,409

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Solution

The fourth proportional to 802,105, 1,106,904.90 and 444,409 is: 613,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,105 : 1,106,904.90 = 444,409 : x
  2. Step 2: Convert to fraction form
    802,105/1,106,904.90 = 444,409/x
  3. Step 3: Cross multiply
    802,105x = 1,106,904.90 × 444,409
  4. Step 4: Simplify right side
    802,105x = 491,918,499,704.10
  5. Step 5: Solve for x
    x = 491,918,499,704.10/802,105
  6. Step 6: Final answer
    x = 613,284.42

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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.