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Finding the Fourth Proportional to 366,946.86, 506,407.60 and 205,789.11

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Solution

The fourth proportional to 366,946.86, 506,407.60 and 205,789.11 is: 284,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946.86 : 506,407.60 = 205,789.11 : x
  2. Step 2: Convert to fraction form
    366,946.86/506,407.60 = 205,789.11/x
  3. Step 3: Cross multiply
    366,946.86x = 506,407.60 × 205,789.11
  4. Step 4: Simplify right side
    366,946.86x = 104,213,166,501.88
  5. Step 5: Solve for x
    x = 104,213,166,501.88/366,946.86
  6. Step 6: Final answer
    x = 284,000.71

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