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Finding the Fourth Proportional to 802,106, 1,106,906.28 and 444,410

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Solution

The fourth proportional to 802,106, 1,106,906.28 and 444,410 is: 613,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,106 : 1,106,906.28 = 444,410 : x
  2. Step 2: Convert to fraction form
    802,106/1,106,906.28 = 444,410/x
  3. Step 3: Cross multiply
    802,106x = 1,106,906.28 × 444,410
  4. Step 4: Simplify right side
    802,106x = 491,920,219,894.80
  5. Step 5: Solve for x
    x = 491,920,219,894.80/802,106
  6. Step 6: Final answer
    x = 613,285.80

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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.