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Finding the Fourth Proportional to 314,430.20, 471,213.30 and 201,764.60

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Solution

The fourth proportional to 314,430.20, 471,213.30 and 201,764.60 is: 302,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,430.20 : 471,213.30 = 201,764.60 : x
  2. Step 2: Convert to fraction form
    314,430.20/471,213.30 = 201,764.60/x
  3. Step 3: Cross multiply
    314,430.20x = 471,213.30 × 201,764.60
  4. Step 4: Simplify right side
    314,430.20x = 95,074,162,989.18
  5. Step 5: Solve for x
    x = 95,074,162,989.18/314,430.20
  6. Step 6: Final answer
    x = 302,369.69

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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.