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Finding the Fourth Proportional to 256,212.80, 383,282.40 and 225,108.80

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Solution

The fourth proportional to 256,212.80, 383,282.40 and 225,108.80 is: 336,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,212.80 : 383,282.40 = 225,108.80 : x
  2. Step 2: Convert to fraction form
    256,212.80/383,282.40 = 225,108.80/x
  3. Step 3: Cross multiply
    256,212.80x = 383,282.40 × 225,108.80
  4. Step 4: Simplify right side
    256,212.80x = 86,280,241,125.12
  5. Step 5: Solve for x
    x = 86,280,241,125.12/256,212.80
  6. Step 6: Final answer
    x = 336,752.27

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