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Finding the Fourth Proportional to 228,909.60, 343,364.40 and 194,349.60

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Solution

The fourth proportional to 228,909.60, 343,364.40 and 194,349.60 is: 291,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,909.60 : 343,364.40 = 194,349.60 : x
  2. Step 2: Convert to fraction form
    228,909.60/343,364.40 = 194,349.60/x
  3. Step 3: Cross multiply
    228,909.60x = 343,364.40 × 194,349.60
  4. Step 4: Simplify right side
    228,909.60x = 66,732,733,794.24
  5. Step 5: Solve for x
    x = 66,732,733,794.24/228,909.60
  6. Step 6: Final answer
    x = 291,524.40

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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.