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Finding the Fourth Proportional to 304,429.80, 456,774.30 and 192,196.20

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Solution

The fourth proportional to 304,429.80, 456,774.30 and 192,196.20 is: 288,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,429.80 : 456,774.30 = 192,196.20 : x
  2. Step 2: Convert to fraction form
    304,429.80/456,774.30 = 192,196.20/x
  3. Step 3: Cross multiply
    304,429.80x = 456,774.30 × 192,196.20
  4. Step 4: Simplify right side
    304,429.80x = 87,790,284,717.66
  5. Step 5: Solve for x
    x = 87,790,284,717.66/304,429.80
  6. Step 6: Final answer
    x = 288,376.12

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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.