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Finding the Fourth Proportional to 294,278.58, 406,226.48 and 198,914.45

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Solution

The fourth proportional to 294,278.58, 406,226.48 and 198,914.45 is: 274,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,278.58 : 406,226.48 = 198,914.45 : x
  2. Step 2: Convert to fraction form
    294,278.58/406,226.48 = 198,914.45/x
  3. Step 3: Cross multiply
    294,278.58x = 406,226.48 × 198,914.45
  4. Step 4: Simplify right side
    294,278.58x = 80,804,313,818.93
  5. Step 5: Solve for x
    x = 80,804,313,818.93/294,278.58
  6. Step 6: Final answer
    x = 274,584.42

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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.