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Finding the Fourth Proportional to 255,634.80, 383,452.20 and 193,426.80

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Solution

The fourth proportional to 255,634.80, 383,452.20 and 193,426.80 is: 290,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,634.80 : 383,452.20 = 193,426.80 : x
  2. Step 2: Convert to fraction form
    255,634.80/383,452.20 = 193,426.80/x
  3. Step 3: Cross multiply
    255,634.80x = 383,452.20 × 193,426.80
  4. Step 4: Simplify right side
    255,634.80x = 74,169,931,998.96
  5. Step 5: Solve for x
    x = 74,169,931,998.96/255,634.80
  6. Step 6: Final answer
    x = 290,140.20

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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.