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Finding the Fourth Proportional to 314,278.44, 471,153.60 and 254,967

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Solution

The fourth proportional to 314,278.44, 471,153.60 and 254,967 is: 382,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,278.44 : 471,153.60 = 254,967 : x
  2. Step 2: Convert to fraction form
    314,278.44/471,153.60 = 254,967/x
  3. Step 3: Cross multiply
    314,278.44x = 471,153.60 × 254,967
  4. Step 4: Simplify right side
    314,278.44x = 120,128,619,931.20
  5. Step 5: Solve for x
    x = 120,128,619,931.20/314,278.44
  6. Step 6: Final answer
    x = 382,236.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.