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Finding the Fourth Proportional to 298,288.58, 411,646.88 and 162,331.30

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Solution

The fourth proportional to 298,288.58, 411,646.88 and 162,331.30 is: 224,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,288.58 : 411,646.88 = 162,331.30 : x
  2. Step 2: Convert to fraction form
    298,288.58/411,646.88 = 162,331.30/x
  3. Step 3: Cross multiply
    298,288.58x = 411,646.88 × 162,331.30
  4. Step 4: Simplify right side
    298,288.58x = 66,823,173,171.34
  5. Step 5: Solve for x
    x = 66,823,173,171.34/298,288.58
  6. Step 6: Final answer
    x = 224,021.90

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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.