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Finding the Fourth Proportional to 292,847.96, 438,770 and 196,604.90

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Solution

The fourth proportional to 292,847.96, 438,770 and 196,604.90 is: 294,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,847.96 : 438,770 = 196,604.90 : x
  2. Step 2: Convert to fraction form
    292,847.96/438,770 = 196,604.90/x
  3. Step 3: Cross multiply
    292,847.96x = 438,770 × 196,604.90
  4. Step 4: Simplify right side
    292,847.96x = 86,264,331,973
  5. Step 5: Solve for x
    x = 86,264,331,973/292,847.96
  6. Step 6: Final answer
    x = 294,570.37

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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.