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Finding the Fourth Proportional to 513,475.20, 770,344.40 and 213,856.16

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Solution

The fourth proportional to 513,475.20, 770,344.40 and 213,856.16 is: 320,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,475.20 : 770,344.40 = 213,856.16 : x
  2. Step 2: Convert to fraction form
    513,475.20/770,344.40 = 213,856.16/x
  3. Step 3: Cross multiply
    513,475.20x = 770,344.40 × 213,856.16
  4. Step 4: Simplify right side
    513,475.20x = 164,742,895,261.50
  5. Step 5: Solve for x
    x = 164,742,895,261.50/513,475.20
  6. Step 6: Final answer
    x = 320,839.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.