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Finding the Fourth Proportional to 395,946.86, 546,399.96 and 223,861.98

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Solution

The fourth proportional to 395,946.86, 546,399.96 and 223,861.98 is: 308,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,946.86 : 546,399.96 = 223,861.98 : x
  2. Step 2: Convert to fraction form
    395,946.86/546,399.96 = 223,861.98/x
  3. Step 3: Cross multiply
    395,946.86x = 546,399.96 × 223,861.98
  4. Step 4: Simplify right side
    395,946.86x = 122,318,176,917.52
  5. Step 5: Solve for x
    x = 122,318,176,917.52/395,946.86
  6. Step 6: Final answer
    x = 308,925.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.