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Finding the Fourth Proportional to 471,560.46, 650,652.53 and 280,536.54

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Solution

The fourth proportional to 471,560.46, 650,652.53 and 280,536.54 is: 387,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,560.46 : 650,652.53 = 280,536.54 : x
  2. Step 2: Convert to fraction form
    471,560.46/650,652.53 = 280,536.54/x
  3. Step 3: Cross multiply
    471,560.46x = 650,652.53 × 280,536.54
  4. Step 4: Simplify right side
    471,560.46x = 182,531,808,105.76
  5. Step 5: Solve for x
    x = 182,531,808,105.76/471,560.46
  6. Step 6: Final answer
    x = 387,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.