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Finding the Fourth Proportional to 294,809.96, 406,786.74 and 173,942.12

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Solution

The fourth proportional to 294,809.96, 406,786.74 and 173,942.12 is: 240,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.96 : 406,786.74 = 173,942.12 : x
  2. Step 2: Convert to fraction form
    294,809.96/406,786.74 = 173,942.12/x
  3. Step 3: Cross multiply
    294,809.96x = 406,786.74 × 173,942.12
  4. Step 4: Simplify right side
    294,809.96x = 70,757,347,943.49
  5. Step 5: Solve for x
    x = 70,757,347,943.49/294,809.96
  6. Step 6: Final answer
    x = 240,010.03

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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.