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Finding the Fourth Proportional to 487,836, 731,749.90 and 381,309.56

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Solution

The fourth proportional to 487,836, 731,749.90 and 381,309.56 is: 571,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,836 : 731,749.90 = 381,309.56 : x
  2. Step 2: Convert to fraction form
    487,836/731,749.90 = 381,309.56/x
  3. Step 3: Cross multiply
    487,836x = 731,749.90 × 381,309.56
  4. Step 4: Simplify right side
    487,836x = 279,023,232,399.04
  5. Step 5: Solve for x
    x = 279,023,232,399.04/487,836
  6. Step 6: Final answer
    x = 571,961.14

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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.