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Finding the Fourth Proportional to 314,217.10, 472,309.80 and 308,312.20

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Solution

The fourth proportional to 314,217.10, 472,309.80 and 308,312.20 is: 463,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,217.10 : 472,309.80 = 308,312.20 : x
  2. Step 2: Convert to fraction form
    314,217.10/472,309.80 = 308,312.20/x
  3. Step 3: Cross multiply
    314,217.10x = 472,309.80 × 308,312.20
  4. Step 4: Simplify right side
    314,217.10x = 145,618,873,519.56
  5. Step 5: Solve for x
    x = 145,618,873,519.56/314,217.10
  6. Step 6: Final answer
    x = 463,433.96

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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.