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Finding the Fourth Proportional to 650,163.40, 973,344.30 and 463,539.40

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Solution

The fourth proportional to 650,163.40, 973,344.30 and 463,539.40 is: 693,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,163.40 : 973,344.30 = 463,539.40 : x
  2. Step 2: Convert to fraction form
    650,163.40/973,344.30 = 463,539.40/x
  3. Step 3: Cross multiply
    650,163.40x = 973,344.30 × 463,539.40
  4. Step 4: Simplify right side
    650,163.40x = 451,183,432,815.42
  5. Step 5: Solve for x
    x = 451,183,432,815.42/650,163.40
  6. Step 6: Final answer
    x = 693,953.91

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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.