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Finding the Fourth Proportional to 297,965.23, 411,200.08 and 162,008.30

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Solution

The fourth proportional to 297,965.23, 411,200.08 and 162,008.30 is: 223,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,965.23 : 411,200.08 = 162,008.30 : x
  2. Step 2: Convert to fraction form
    297,965.23/411,200.08 = 162,008.30/x
  3. Step 3: Cross multiply
    297,965.23x = 411,200.08 × 162,008.30
  4. Step 4: Simplify right side
    297,965.23x = 66,617,826,543.64
  5. Step 5: Solve for x
    x = 66,617,826,543.64/297,965.23
  6. Step 6: Final answer
    x = 223,575.84

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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.