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Finding the Fourth Proportional to 337,075, 505,760.10 and 159,708.76

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Solution

The fourth proportional to 337,075, 505,760.10 and 159,708.76 is: 239,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,075 : 505,760.10 = 159,708.76 : x
  2. Step 2: Convert to fraction form
    337,075/505,760.10 = 159,708.76/x
  3. Step 3: Cross multiply
    337,075x = 505,760.10 × 159,708.76
  4. Step 4: Simplify right side
    337,075x = 80,774,318,428.48
  5. Step 5: Solve for x
    x = 80,774,318,428.48/337,075
  6. Step 6: Final answer
    x = 239,633.07

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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.