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Finding the Fourth Proportional to 311,305.33, 464,378.50 and 302,128.13

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Solution

The fourth proportional to 311,305.33, 464,378.50 and 302,128.13 is: 450,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,305.33 : 464,378.50 = 302,128.13 : x
  2. Step 2: Convert to fraction form
    311,305.33/464,378.50 = 302,128.13/x
  3. Step 3: Cross multiply
    311,305.33x = 464,378.50 × 302,128.13
  4. Step 4: Simplify right side
    311,305.33x = 140,301,807,817.21
  5. Step 5: Solve for x
    x = 140,301,807,817.21/311,305.33
  6. Step 6: Final answer
    x = 450,688.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.