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Finding the Fourth Proportional to 346,493, 519,739.51 and 83,837

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Solution

The fourth proportional to 346,493, 519,739.51 and 83,837 is: 125,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,493 : 519,739.51 = 83,837 : x
  2. Step 2: Convert to fraction form
    346,493/519,739.51 = 83,837/x
  3. Step 3: Cross multiply
    346,493x = 519,739.51 × 83,837
  4. Step 4: Simplify right side
    346,493x = 43,573,401,299.87
  5. Step 5: Solve for x
    x = 43,573,401,299.87/346,493
  6. Step 6: Final answer
    x = 125,755.50

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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.