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Finding the Fourth Proportional to 294,443.34, 405,923.43 and 198,798.54

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Solution

The fourth proportional to 294,443.34, 405,923.43 and 198,798.54 is: 274,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.34 : 405,923.43 = 198,798.54 : x
  2. Step 2: Convert to fraction form
    294,443.34/405,923.43 = 198,798.54/x
  3. Step 3: Cross multiply
    294,443.34x = 405,923.43 × 198,798.54
  4. Step 4: Simplify right side
    294,443.34x = 80,696,985,235.79
  5. Step 5: Solve for x
    x = 80,696,985,235.79/294,443.34
  6. Step 6: Final answer
    x = 274,066.26

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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.