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Finding the Fourth Proportional to 304,026.20, 456,039.30 and 204,493.40

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Solution

The fourth proportional to 304,026.20, 456,039.30 and 204,493.40 is: 306,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,026.20 : 456,039.30 = 204,493.40 : x
  2. Step 2: Convert to fraction form
    304,026.20/456,039.30 = 204,493.40/x
  3. Step 3: Cross multiply
    304,026.20x = 456,039.30 × 204,493.40
  4. Step 4: Simplify right side
    304,026.20x = 93,257,026,990.62
  5. Step 5: Solve for x
    x = 93,257,026,990.62/304,026.20
  6. Step 6: Final answer
    x = 306,740.10

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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.