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Finding the Fourth Proportional to 329,595.75, 494,441.01 and 101,909.13

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Solution

The fourth proportional to 329,595.75, 494,441.01 and 101,909.13 is: 152,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,595.75 : 494,441.01 = 101,909.13 : x
  2. Step 2: Convert to fraction form
    329,595.75/494,441.01 = 101,909.13/x
  3. Step 3: Cross multiply
    329,595.75x = 494,441.01 × 101,909.13
  4. Step 4: Simplify right side
    329,595.75x = 50,388,052,655.88
  5. Step 5: Solve for x
    x = 50,388,052,655.88/329,595.75
  6. Step 6: Final answer
    x = 152,878.34

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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.