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Finding the Fourth Proportional to 498,920.80, 751,750.30 and 412,119.04

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Solution

The fourth proportional to 498,920.80, 751,750.30 and 412,119.04 is: 620,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,920.80 : 751,750.30 = 412,119.04 : x
  2. Step 2: Convert to fraction form
    498,920.80/751,750.30 = 412,119.04/x
  3. Step 3: Cross multiply
    498,920.80x = 751,750.30 × 412,119.04
  4. Step 4: Simplify right side
    498,920.80x = 309,810,611,955.71
  5. Step 5: Solve for x
    x = 309,810,611,955.71/498,920.80
  6. Step 6: Final answer
    x = 620,961.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.