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Finding the Fourth Proportional to 256,200.80, 383,426.40 and 235,205.60

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Solution

The fourth proportional to 256,200.80, 383,426.40 and 235,205.60 is: 352,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,200.80 : 383,426.40 = 235,205.60 : x
  2. Step 2: Convert to fraction form
    256,200.80/383,426.40 = 235,205.60/x
  3. Step 3: Cross multiply
    256,200.80x = 383,426.40 × 235,205.60
  4. Step 4: Simplify right side
    256,200.80x = 90,184,036,467.84
  5. Step 5: Solve for x
    x = 90,184,036,467.84/256,200.80
  6. Step 6: Final answer
    x = 352,005.29

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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.