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Finding the Fourth Proportional to 256,543.80, 383,940.90 and 256,543.80

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Solution

The fourth proportional to 256,543.80, 383,940.90 and 256,543.80 is: 383,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,543.80 : 383,940.90 = 256,543.80 : x
  2. Step 2: Convert to fraction form
    256,543.80/383,940.90 = 256,543.80/x
  3. Step 3: Cross multiply
    256,543.80x = 383,940.90 × 256,543.80
  4. Step 4: Simplify right side
    256,543.80x = 98,497,657,461.42
  5. Step 5: Solve for x
    x = 98,497,657,461.42/256,543.80
  6. Step 6: Final answer
    x = 383,940.90

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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.