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Finding the Fourth Proportional to 300,830.97, 450,746.13 and 211,896.60

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Solution

The fourth proportional to 300,830.97, 450,746.13 and 211,896.60 is: 317,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,830.97 : 450,746.13 = 211,896.60 : x
  2. Step 2: Convert to fraction form
    300,830.97/450,746.13 = 211,896.60/x
  3. Step 3: Cross multiply
    300,830.97x = 450,746.13 × 211,896.60
  4. Step 4: Simplify right side
    300,830.97x = 95,511,572,410.16
  5. Step 5: Solve for x
    x = 95,511,572,410.16/300,830.97
  6. Step 6: Final answer
    x = 317,492.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.