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Finding the Fourth Proportional to 412,526.82, 618,790.73 and 113,009.98

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Solution

The fourth proportional to 412,526.82, 618,790.73 and 113,009.98 is: 169,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,526.82 : 618,790.73 = 113,009.98 : x
  2. Step 2: Convert to fraction form
    412,526.82/618,790.73 = 113,009.98/x
  3. Step 3: Cross multiply
    412,526.82x = 618,790.73 × 113,009.98
  4. Step 4: Simplify right side
    412,526.82x = 69,929,528,021.49
  5. Step 5: Solve for x
    x = 69,929,528,021.49/412,526.82
  6. Step 6: Final answer
    x = 169,515.11

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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.