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Finding the Fourth Proportional to 320,235, 441,922.68 and 176,993.79

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Solution

The fourth proportional to 320,235, 441,922.68 and 176,993.79 is: 244,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,235 : 441,922.68 = 176,993.79 : x
  2. Step 2: Convert to fraction form
    320,235/441,922.68 = 176,993.79/x
  3. Step 3: Cross multiply
    320,235x = 441,922.68 × 176,993.79
  4. Step 4: Simplify right side
    320,235x = 78,217,570,020.16
  5. Step 5: Solve for x
    x = 78,217,570,020.16/320,235
  6. Step 6: Final answer
    x = 244,250.53

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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.