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Finding the Fourth Proportional to 277,344.24, 382,734.72 and 150,019.44

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Solution

The fourth proportional to 277,344.24, 382,734.72 and 150,019.44 is: 207,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,344.24 : 382,734.72 = 150,019.44 : x
  2. Step 2: Convert to fraction form
    277,344.24/382,734.72 = 150,019.44/x
  3. Step 3: Cross multiply
    277,344.24x = 382,734.72 × 150,019.44
  4. Step 4: Simplify right side
    277,344.24x = 57,417,648,362.96
  5. Step 5: Solve for x
    x = 57,417,648,362.96/277,344.24
  6. Step 6: Final answer
    x = 207,026.65

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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.