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Finding the Fourth Proportional to 304,562.80, 455,969.40 and 186,464.80

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Solution

The fourth proportional to 304,562.80, 455,969.40 and 186,464.80 is: 279,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,562.80 : 455,969.40 = 186,464.80 : x
  2. Step 2: Convert to fraction form
    304,562.80/455,969.40 = 186,464.80/x
  3. Step 3: Cross multiply
    304,562.80x = 455,969.40 × 186,464.80
  4. Step 4: Simplify right side
    304,562.80x = 85,022,242,977.12
  5. Step 5: Solve for x
    x = 85,022,242,977.12/304,562.80
  6. Step 6: Final answer
    x = 279,161.61

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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.