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Finding the Fourth Proportional to 384,335.20, 530,431.50 and 223,158.16

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Solution

The fourth proportional to 384,335.20, 530,431.50 and 223,158.16 is: 307,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,335.20 : 530,431.50 = 223,158.16 : x
  2. Step 2: Convert to fraction form
    384,335.20/530,431.50 = 223,158.16/x
  3. Step 3: Cross multiply
    384,335.20x = 530,431.50 × 223,158.16
  4. Step 4: Simplify right side
    384,335.20x = 118,370,117,546.04
  5. Step 5: Solve for x
    x = 118,370,117,546.04/384,335.20
  6. Step 6: Final answer
    x = 307,986.67

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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.