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Finding the Fourth Proportional to 298,176.15, 411,485.76 and 162,213.06

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Solution

The fourth proportional to 298,176.15, 411,485.76 and 162,213.06 is: 223,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,176.15 : 411,485.76 = 162,213.06 : x
  2. Step 2: Convert to fraction form
    298,176.15/411,485.76 = 162,213.06/x
  3. Step 3: Cross multiply
    298,176.15x = 411,485.76 × 162,213.06
  4. Step 4: Simplify right side
    298,176.15x = 66,748,364,276.03
  5. Step 5: Solve for x
    x = 66,748,364,276.03/298,176.15
  6. Step 6: Final answer
    x = 223,855.48

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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.