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Finding the Fourth Proportional to 346,538.60, 519,980.70 and 196,893.80

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Solution

The fourth proportional to 346,538.60, 519,980.70 and 196,893.80 is: 295,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,538.60 : 519,980.70 = 196,893.80 : x
  2. Step 2: Convert to fraction form
    346,538.60/519,980.70 = 196,893.80/x
  3. Step 3: Cross multiply
    346,538.60x = 519,980.70 × 196,893.80
  4. Step 4: Simplify right side
    346,538.60x = 102,380,975,949.66
  5. Step 5: Solve for x
    x = 102,380,975,949.66/346,538.60
  6. Step 6: Final answer
    x = 295,438.88

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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.