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Finding the Fourth Proportional to 304,199.69, 455,977.76 and 114,578.02

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Solution

The fourth proportional to 304,199.69, 455,977.76 and 114,578.02 is: 171,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,199.69 : 455,977.76 = 114,578.02 : x
  2. Step 2: Convert to fraction form
    304,199.69/455,977.76 = 114,578.02/x
  3. Step 3: Cross multiply
    304,199.69x = 455,977.76 × 114,578.02
  4. Step 4: Simplify right side
    304,199.69x = 52,245,028,051.34
  5. Step 5: Solve for x
    x = 52,245,028,051.34/304,199.69
  6. Step 6: Final answer
    x = 171,745.83

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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.