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Finding the Fourth Proportional to 503,471.16, 754,757.46 and 187,942.68

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Solution

The fourth proportional to 503,471.16, 754,757.46 and 187,942.68 is: 281,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,471.16 : 754,757.46 = 187,942.68 : x
  2. Step 2: Convert to fraction form
    503,471.16/754,757.46 = 187,942.68/x
  3. Step 3: Cross multiply
    503,471.16x = 754,757.46 × 187,942.68
  4. Step 4: Simplify right side
    503,471.16x = 141,851,139,782.39
  5. Step 5: Solve for x
    x = 141,851,139,782.39/503,471.16
  6. Step 6: Final answer
    x = 281,746.31

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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.