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Finding the Fourth Proportional to 337,197.60, 505,715.40 and 194,734.80

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Solution

The fourth proportional to 337,197.60, 505,715.40 and 194,734.80 is: 292,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,197.60 : 505,715.40 = 194,734.80 : x
  2. Step 2: Convert to fraction form
    337,197.60/505,715.40 = 194,734.80/x
  3. Step 3: Cross multiply
    337,197.60x = 505,715.40 × 194,734.80
  4. Step 4: Simplify right side
    337,197.60x = 98,480,387,275.92
  5. Step 5: Solve for x
    x = 98,480,387,275.92/337,197.60
  6. Step 6: Final answer
    x = 292,055.42

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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.