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Finding the Fourth Proportional to 256,938.20, 385,407.30 and 256,938.20

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Solution

The fourth proportional to 256,938.20, 385,407.30 and 256,938.20 is: 385,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938.20 : 385,407.30 = 256,938.20 : x
  2. Step 2: Convert to fraction form
    256,938.20/385,407.30 = 256,938.20/x
  3. Step 3: Cross multiply
    256,938.20x = 385,407.30 × 256,938.20
  4. Step 4: Simplify right side
    256,938.20x = 99,025,857,928.86
  5. Step 5: Solve for x
    x = 99,025,857,928.86/256,938.20
  6. Step 6: Final answer
    x = 385,407.30

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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.