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Finding the Fourth Proportional to 650,188.40, 973,381.80 and 463,564.40

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Solution

The fourth proportional to 650,188.40, 973,381.80 and 463,564.40 is: 693,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,188.40 : 973,381.80 = 463,564.40 : x
  2. Step 2: Convert to fraction form
    650,188.40/973,381.80 = 463,564.40/x
  3. Step 3: Cross multiply
    650,188.40x = 973,381.80 × 463,564.40
  4. Step 4: Simplify right side
    650,188.40x = 451,225,150,087.92
  5. Step 5: Solve for x
    x = 451,225,150,087.92/650,188.40
  6. Step 6: Final answer
    x = 693,991.39

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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.