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Finding the Fourth Proportional to 298,285.58, 411,642.74 and 162,328.30

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Solution

The fourth proportional to 298,285.58, 411,642.74 and 162,328.30 is: 224,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.58 : 411,642.74 = 162,328.30 : x
  2. Step 2: Convert to fraction form
    298,285.58/411,642.74 = 162,328.30/x
  3. Step 3: Cross multiply
    298,285.58x = 411,642.74 × 162,328.30
  4. Step 4: Simplify right side
    298,285.58x = 66,821,266,191.54
  5. Step 5: Solve for x
    x = 66,821,266,191.54/298,285.58
  6. Step 6: Final answer
    x = 224,017.76

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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.