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Finding the Fourth Proportional to 228,849.60, 343,274.40 and 194,289.60

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Solution

The fourth proportional to 228,849.60, 343,274.40 and 194,289.60 is: 291,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,849.60 : 343,274.40 = 194,289.60 : x
  2. Step 2: Convert to fraction form
    228,849.60/343,274.40 = 194,289.60/x
  3. Step 3: Cross multiply
    228,849.60x = 343,274.40 × 194,289.60
  4. Step 4: Simplify right side
    228,849.60x = 66,694,645,866.24
  5. Step 5: Solve for x
    x = 66,694,645,866.24/228,849.60
  6. Step 6: Final answer
    x = 291,434.40

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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.