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Finding the Fourth Proportional to 256,231.80, 384,347.70 and 256,231.80

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Solution

The fourth proportional to 256,231.80, 384,347.70 and 256,231.80 is: 384,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,231.80 : 384,347.70 = 256,231.80 : x
  2. Step 2: Convert to fraction form
    256,231.80/384,347.70 = 256,231.80/x
  3. Step 3: Cross multiply
    256,231.80x = 384,347.70 × 256,231.80
  4. Step 4: Simplify right side
    256,231.80x = 98,482,102,996.86
  5. Step 5: Solve for x
    x = 98,482,102,996.86/256,231.80
  6. Step 6: Final answer
    x = 384,347.70

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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.