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Finding the Fourth Proportional to 285,901, 394,285.14 and 178,480.96

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Solution

The fourth proportional to 285,901, 394,285.14 and 178,480.96 is: 246,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,901 : 394,285.14 = 178,480.96 : x
  2. Step 2: Convert to fraction form
    285,901/394,285.14 = 178,480.96/x
  3. Step 3: Cross multiply
    285,901x = 394,285.14 × 178,480.96
  4. Step 4: Simplify right side
    285,901x = 70,372,390,300.93
  5. Step 5: Solve for x
    x = 70,372,390,300.93/285,901
  6. Step 6: Final answer
    x = 246,142.51

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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.