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Finding the Fourth Proportional to 384,769.12, 530,971.20 and 215,004.64

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Solution

The fourth proportional to 384,769.12, 530,971.20 and 215,004.64 is: 296,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,769.12 : 530,971.20 = 215,004.64 : x
  2. Step 2: Convert to fraction form
    384,769.12/530,971.20 = 215,004.64/x
  3. Step 3: Cross multiply
    384,769.12x = 530,971.20 × 215,004.64
  4. Step 4: Simplify right side
    384,769.12x = 114,161,271,706.37
  5. Step 5: Solve for x
    x = 114,161,271,706.37/384,769.12
  6. Step 6: Final answer
    x = 296,700.71

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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.