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Finding the Fourth Proportional to 300,315.23, 450,457.05 and 75,675.50

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Solution

The fourth proportional to 300,315.23, 450,457.05 and 75,675.50 is: 113,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,315.23 : 450,457.05 = 75,675.50 : x
  2. Step 2: Convert to fraction form
    300,315.23/450,457.05 = 75,675.50/x
  3. Step 3: Cross multiply
    300,315.23x = 450,457.05 × 75,675.50
  4. Step 4: Simplify right side
    300,315.23x = 34,088,562,487.28
  5. Step 5: Solve for x
    x = 34,088,562,487.28/300,315.23
  6. Step 6: Final answer
    x = 113,509.27

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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.