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Finding the Fourth Proportional to 288,035.60, 431,178.60 and 256,542.80

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Solution

The fourth proportional to 288,035.60, 431,178.60 and 256,542.80 is: 384,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,035.60 : 431,178.60 = 256,542.80 : x
  2. Step 2: Convert to fraction form
    288,035.60/431,178.60 = 256,542.80/x
  3. Step 3: Cross multiply
    288,035.60x = 431,178.60 × 256,542.80
  4. Step 4: Simplify right side
    288,035.60x = 110,615,765,344.08
  5. Step 5: Solve for x
    x = 110,615,765,344.08/288,035.60
  6. Step 6: Final answer
    x = 384,035.05

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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.