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Finding the Fourth Proportional to 278,057.98, 383,584.71 and 164,800.54

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Solution

The fourth proportional to 278,057.98, 383,584.71 and 164,800.54 is: 227,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.98 : 383,584.71 = 164,800.54 : x
  2. Step 2: Convert to fraction form
    278,057.98/383,584.71 = 164,800.54/x
  3. Step 3: Cross multiply
    278,057.98x = 383,584.71 × 164,800.54
  4. Step 4: Simplify right side
    278,057.98x = 63,214,967,343.74
  5. Step 5: Solve for x
    x = 63,214,967,343.74/278,057.98
  6. Step 6: Final answer
    x = 227,344.55

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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.