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Finding the Fourth Proportional to 412,538.39, 618,984.02 and 172,708.32

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Solution

The fourth proportional to 412,538.39, 618,984.02 and 172,708.32 is: 259,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,538.39 : 618,984.02 = 172,708.32 : x
  2. Step 2: Convert to fraction form
    412,538.39/618,984.02 = 172,708.32/x
  3. Step 3: Cross multiply
    412,538.39x = 618,984.02 × 172,708.32
  4. Step 4: Simplify right side
    412,538.39x = 106,903,690,632.82
  5. Step 5: Solve for x
    x = 106,903,690,632.82/412,538.39
  6. Step 6: Final answer
    x = 259,136.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.