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Finding the Fourth Proportional to 354,912.50, 532,106.31 and 214,639.94

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Solution

The fourth proportional to 354,912.50, 532,106.31 and 214,639.94 is: 321,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,912.50 : 532,106.31 = 214,639.94 : x
  2. Step 2: Convert to fraction form
    354,912.50/532,106.31 = 214,639.94/x
  3. Step 3: Cross multiply
    354,912.50x = 532,106.31 × 214,639.94
  4. Step 4: Simplify right side
    354,912.50x = 114,211,266,452.02
  5. Step 5: Solve for x
    x = 114,211,266,452.02/354,912.50
  6. Step 6: Final answer
    x = 321,801.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.