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Finding the Fourth Proportional to 256,020.40, 384,030.60 and 162,593.20

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Solution

The fourth proportional to 256,020.40, 384,030.60 and 162,593.20 is: 243,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,020.40 : 384,030.60 = 162,593.20 : x
  2. Step 2: Convert to fraction form
    256,020.40/384,030.60 = 162,593.20/x
  3. Step 3: Cross multiply
    256,020.40x = 384,030.60 × 162,593.20
  4. Step 4: Simplify right side
    256,020.40x = 62,440,764,151.92
  5. Step 5: Solve for x
    x = 62,440,764,151.92/256,020.40
  6. Step 6: Final answer
    x = 243,889.80

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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.