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Finding the Fourth Proportional to 650,278.40, 973,516.80 and 463,654.40

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Solution

The fourth proportional to 650,278.40, 973,516.80 and 463,654.40 is: 694,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,278.40 : 973,516.80 = 463,654.40 : x
  2. Step 2: Convert to fraction form
    650,278.40/973,516.80 = 463,654.40/x
  3. Step 3: Cross multiply
    650,278.40x = 973,516.80 × 463,654.40
  4. Step 4: Simplify right side
    650,278.40x = 451,375,347,793.92
  5. Step 5: Solve for x
    x = 451,375,347,793.92/650,278.40
  6. Step 6: Final answer
    x = 694,126.31

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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.