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Finding the Fourth Proportional to 354,706.20, 532,059.30 and 310,419.46

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Solution

The fourth proportional to 354,706.20, 532,059.30 and 310,419.46 is: 465,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,706.20 : 532,059.30 = 310,419.46 : x
  2. Step 2: Convert to fraction form
    354,706.20/532,059.30 = 310,419.46/x
  3. Step 3: Cross multiply
    354,706.20x = 532,059.30 × 310,419.46
  4. Step 4: Simplify right side
    354,706.20x = 165,161,560,593.98
  5. Step 5: Solve for x
    x = 165,161,560,593.98/354,706.20
  6. Step 6: Final answer
    x = 465,629.19

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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.