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Finding the Fourth Proportional to 471,179.44, 650,468.32 and 363,507.76

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Solution

The fourth proportional to 471,179.44, 650,468.32 and 363,507.76 is: 501,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,179.44 : 650,468.32 = 363,507.76 : x
  2. Step 2: Convert to fraction form
    471,179.44/650,468.32 = 363,507.76/x
  3. Step 3: Cross multiply
    471,179.44x = 650,468.32 × 363,507.76
  4. Step 4: Simplify right side
    471,179.44x = 236,450,281,954.16
  5. Step 5: Solve for x
    x = 236,450,281,954.16/471,179.44
  6. Step 6: Final answer
    x = 501,826.40

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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.