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Finding the Fourth Proportional to 346,078.60, 519,290.70 and 196,433.80

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Solution

The fourth proportional to 346,078.60, 519,290.70 and 196,433.80 is: 294,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,078.60 : 519,290.70 = 196,433.80 : x
  2. Step 2: Convert to fraction form
    346,078.60/519,290.70 = 196,433.80/x
  3. Step 3: Cross multiply
    346,078.60x = 519,290.70 × 196,433.80
  4. Step 4: Simplify right side
    346,078.60x = 102,006,245,505.66
  5. Step 5: Solve for x
    x = 102,006,245,505.66/346,078.60
  6. Step 6: Final answer
    x = 294,748.78

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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.