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Finding the Fourth Proportional to 421,773.42, 632,593.17 and 197,289.66

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Solution

The fourth proportional to 421,773.42, 632,593.17 and 197,289.66 is: 295,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,773.42 : 632,593.17 = 197,289.66 : x
  2. Step 2: Convert to fraction form
    421,773.42/632,593.17 = 197,289.66/x
  3. Step 3: Cross multiply
    421,773.42x = 632,593.17 × 197,289.66
  4. Step 4: Simplify right side
    421,773.42x = 124,804,091,427.62
  5. Step 5: Solve for x
    x = 124,804,091,427.62/421,773.42
  6. Step 6: Final answer
    x = 295,903.17

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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.