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Finding the Fourth Proportional to 329,633.79, 494,525.25 and 105,007.02

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Solution

The fourth proportional to 329,633.79, 494,525.25 and 105,007.02 is: 157,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,633.79 : 494,525.25 = 105,007.02 : x
  2. Step 2: Convert to fraction form
    329,633.79/494,525.25 = 105,007.02/x
  3. Step 3: Cross multiply
    329,633.79x = 494,525.25 × 105,007.02
  4. Step 4: Simplify right side
    329,633.79x = 51,928,620,962.79
  5. Step 5: Solve for x
    x = 51,928,620,962.79/329,633.79
  6. Step 6: Final answer
    x = 157,534.28

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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.