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Finding the Fourth Proportional to 471,427.96, 650,639.14 and 264,719.55

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Solution

The fourth proportional to 471,427.96, 650,639.14 and 264,719.55 is: 365,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,427.96 : 650,639.14 = 264,719.55 : x
  2. Step 2: Convert to fraction form
    471,427.96/650,639.14 = 264,719.55/x
  3. Step 3: Cross multiply
    471,427.96x = 650,639.14 × 264,719.55
  4. Step 4: Simplify right side
    471,427.96x = 172,236,900,594.39
  5. Step 5: Solve for x
    x = 172,236,900,594.39/471,427.96
  6. Step 6: Final answer
    x = 365,351.48

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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.