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Finding the Fourth Proportional to 650,884, 977,819.52 and 461,810.56

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Solution

The fourth proportional to 650,884, 977,819.52 and 461,810.56 is: 693,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,884 : 977,819.52 = 461,810.56 : x
  2. Step 2: Convert to fraction form
    650,884/977,819.52 = 461,810.56/x
  3. Step 3: Cross multiply
    650,884x = 977,819.52 × 461,810.56
  4. Step 4: Simplify right side
    650,884x = 451,567,380,110.13
  5. Step 5: Solve for x
    x = 451,567,380,110.13/650,884
  6. Step 6: Final answer
    x = 693,775.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.