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Finding the Fourth Proportional to 294,986.70, 407,081.52 and 160,850.70

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Solution

The fourth proportional to 294,986.70, 407,081.52 and 160,850.70 is: 221,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,986.70 : 407,081.52 = 160,850.70 : x
  2. Step 2: Convert to fraction form
    294,986.70/407,081.52 = 160,850.70/x
  3. Step 3: Cross multiply
    294,986.70x = 407,081.52 × 160,850.70
  4. Step 4: Simplify right side
    294,986.70x = 65,479,347,449.06
  5. Step 5: Solve for x
    x = 65,479,347,449.06/294,986.70
  6. Step 6: Final answer
    x = 221,973.90

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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.