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Finding the Fourth Proportional to 304,095.20, 456,142.80 and 204,562.40

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Solution

The fourth proportional to 304,095.20, 456,142.80 and 204,562.40 is: 306,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,095.20 : 456,142.80 = 204,562.40 : x
  2. Step 2: Convert to fraction form
    304,095.20/456,142.80 = 204,562.40/x
  3. Step 3: Cross multiply
    304,095.20x = 456,142.80 × 204,562.40
  4. Step 4: Simplify right side
    304,095.20x = 93,309,665,910.72
  5. Step 5: Solve for x
    x = 93,309,665,910.72/304,095.20
  6. Step 6: Final answer
    x = 306,843.60

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1.5x scale

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.