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Finding the Fourth Proportional to 306,402.24, 422,847.12 and 185,475.11

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Solution

The fourth proportional to 306,402.24, 422,847.12 and 185,475.11 is: 255,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,402.24 : 422,847.12 = 185,475.11 : x
  2. Step 2: Convert to fraction form
    306,402.24/422,847.12 = 185,475.11/x
  3. Step 3: Cross multiply
    306,402.24x = 422,847.12 × 185,475.11
  4. Step 4: Simplify right side
    306,402.24x = 78,427,615,167.81
  5. Step 5: Solve for x
    x = 78,427,615,167.81/306,402.24
  6. Step 6: Final answer
    x = 255,962.93

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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.