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Finding the Fourth Proportional to 320,855.68, 442,784.12 and 177,612.65

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Solution

The fourth proportional to 320,855.68, 442,784.12 and 177,612.65 is: 245,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,855.68 : 442,784.12 = 177,612.65 : x
  2. Step 2: Convert to fraction form
    320,855.68/442,784.12 = 177,612.65/x
  3. Step 3: Cross multiply
    320,855.68x = 442,784.12 × 177,612.65
  4. Step 4: Simplify right side
    320,855.68x = 78,644,060,488.65
  5. Step 5: Solve for x
    x = 78,644,060,488.65/320,855.68
  6. Step 6: Final answer
    x = 245,107.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.