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Finding the Fourth Proportional to 476,578.80, 713,779.44 and 227,435.76

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Solution

The fourth proportional to 476,578.80, 713,779.44 and 227,435.76 is: 340,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,578.80 : 713,779.44 = 227,435.76 : x
  2. Step 2: Convert to fraction form
    476,578.80/713,779.44 = 227,435.76/x
  3. Step 3: Cross multiply
    476,578.80x = 713,779.44 × 227,435.76
  4. Step 4: Simplify right side
    476,578.80x = 162,338,969,408.77
  5. Step 5: Solve for x
    x = 162,338,969,408.77/476,578.80
  6. Step 6: Final answer
    x = 340,634.06

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Why These Related Problems?

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