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Finding the Fourth Proportional to 263,009.40, 394,368.30 and 105,059.40

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Solution

The fourth proportional to 263,009.40, 394,368.30 and 105,059.40 is: 157,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,009.40 : 394,368.30 = 105,059.40 : x
  2. Step 2: Convert to fraction form
    263,009.40/394,368.30 = 105,059.40/x
  3. Step 3: Cross multiply
    263,009.40x = 394,368.30 × 105,059.40
  4. Step 4: Simplify right side
    263,009.40x = 41,432,096,977.02
  5. Step 5: Solve for x
    x = 41,432,096,977.02/263,009.40
  6. Step 6: Final answer
    x = 157,530.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.