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Finding the Fourth Proportional to 531,540.23, 797,471.33 and 189,938.93

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Solution

The fourth proportional to 531,540.23, 797,471.33 and 189,938.93 is: 284,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,540.23 : 797,471.33 = 189,938.93 : x
  2. Step 2: Convert to fraction form
    531,540.23/797,471.33 = 189,938.93/x
  3. Step 3: Cross multiply
    531,540.23x = 797,471.33 × 189,938.93
  4. Step 4: Simplify right side
    531,540.23x = 151,470,846,188.83
  5. Step 5: Solve for x
    x = 151,470,846,188.83/531,540.23
  6. Step 6: Final answer
    x = 284,965.91

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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.