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Finding the Fourth Proportional to 475,946.38, 656,540.94 and 294,542.83

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Solution

The fourth proportional to 475,946.38, 656,540.94 and 294,542.83 is: 406,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,946.38 : 656,540.94 = 294,542.83 : x
  2. Step 2: Convert to fraction form
    475,946.38/656,540.94 = 294,542.83/x
  3. Step 3: Cross multiply
    475,946.38x = 656,540.94 × 294,542.83
  4. Step 4: Simplify right side
    475,946.38x = 193,379,426,478.46
  5. Step 5: Solve for x
    x = 193,379,426,478.46/475,946.38
  6. Step 6: Final answer
    x = 406,305.07

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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.