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Finding the Fourth Proportional to 766,878.14, 1,149,537.98 and 317,843.30

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Solution

The fourth proportional to 766,878.14, 1,149,537.98 and 317,843.30 is: 476,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,878.14 : 1,149,537.98 = 317,843.30 : x
  2. Step 2: Convert to fraction form
    766,878.14/1,149,537.98 = 317,843.30/x
  3. Step 3: Cross multiply
    766,878.14x = 1,149,537.98 × 317,843.30
  4. Step 4: Simplify right side
    766,878.14x = 365,372,945,038.53
  5. Step 5: Solve for x
    x = 365,372,945,038.53/766,878.14
  6. Step 6: Final answer
    x = 476,441.99

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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.