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Finding the Fourth Proportional to 256,042.54, 353,401.95 and 155,524.78

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Solution

The fourth proportional to 256,042.54, 353,401.95 and 155,524.78 is: 214,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042.54 : 353,401.95 = 155,524.78 : x
  2. Step 2: Convert to fraction form
    256,042.54/353,401.95 = 155,524.78/x
  3. Step 3: Cross multiply
    256,042.54x = 353,401.95 × 155,524.78
  4. Step 4: Simplify right side
    256,042.54x = 54,962,760,525.32
  5. Step 5: Solve for x
    x = 54,962,760,525.32/256,042.54
  6. Step 6: Final answer
    x = 214,662.61

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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.