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Finding the Fourth Proportional to 285,683.22, 394,246.89 and 156,633.84

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Solution

The fourth proportional to 285,683.22, 394,246.89 and 156,633.84 is: 216,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,683.22 : 394,246.89 = 156,633.84 : x
  2. Step 2: Convert to fraction form
    285,683.22/394,246.89 = 156,633.84/x
  3. Step 3: Cross multiply
    285,683.22x = 394,246.89 × 156,633.84
  4. Step 4: Simplify right side
    285,683.22x = 61,752,404,288.76
  5. Step 5: Solve for x
    x = 61,752,404,288.76/285,683.22
  6. Step 6: Final answer
    x = 216,156.92

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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.