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Finding the Fourth Proportional to 298,441.20, 411,841.08 and 162,477.84

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Solution

The fourth proportional to 298,441.20, 411,841.08 and 162,477.84 is: 224,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,441.20 : 411,841.08 = 162,477.84 : x
  2. Step 2: Convert to fraction form
    298,441.20/411,841.08 = 162,477.84/x
  3. Step 3: Cross multiply
    298,441.20x = 411,841.08 × 162,477.84
  4. Step 4: Simplify right side
    298,441.20x = 66,915,049,101.67
  5. Step 5: Solve for x
    x = 66,915,049,101.67/298,441.20
  6. Step 6: Final answer
    x = 224,215.19

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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.