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Finding the Fourth Proportional to 304,199.76, 455,977.87 and 114,578.08

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Solution

The fourth proportional to 304,199.76, 455,977.87 and 114,578.08 is: 171,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,199.76 : 455,977.87 = 114,578.08 : x
  2. Step 2: Convert to fraction form
    304,199.76/455,977.87 = 114,578.08/x
  3. Step 3: Cross multiply
    304,199.76x = 455,977.87 × 114,578.08
  4. Step 4: Simplify right side
    304,199.76x = 52,245,070,650.08
  5. Step 5: Solve for x
    x = 52,245,070,650.08/304,199.76
  6. Step 6: Final answer
    x = 171,745.93

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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.