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Finding the Fourth Proportional to 310,287.03, 465,457.26 and 85,647.50

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Solution

The fourth proportional to 310,287.03, 465,457.26 and 85,647.50 is: 128,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,287.03 : 465,457.26 = 85,647.50 : x
  2. Step 2: Convert to fraction form
    310,287.03/465,457.26 = 85,647.50/x
  3. Step 3: Cross multiply
    310,287.03x = 465,457.26 × 85,647.50
  4. Step 4: Simplify right side
    310,287.03x = 39,865,250,675.85
  5. Step 5: Solve for x
    x = 39,865,250,675.85/310,287.03
  6. Step 6: Final answer
    x = 128,478.62

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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.