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Finding the Fourth Proportional to 278,032.37, 383,674.37 and 150,705.23

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Solution

The fourth proportional to 278,032.37, 383,674.37 and 150,705.23 is: 207,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,032.37 : 383,674.37 = 150,705.23 : x
  2. Step 2: Convert to fraction form
    278,032.37/383,674.37 = 150,705.23/x
  3. Step 3: Cross multiply
    278,032.37x = 383,674.37 × 150,705.23
  4. Step 4: Simplify right side
    278,032.37x = 57,821,731,504.06
  5. Step 5: Solve for x
    x = 57,821,731,504.06/278,032.37
  6. Step 6: Final answer
    x = 207,967.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.