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Finding the Fourth Proportional to 533,288.80, 798,766.80 and 414,024.40

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Solution

The fourth proportional to 533,288.80, 798,766.80 and 414,024.40 is: 620,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,288.80 : 798,766.80 = 414,024.40 : x
  2. Step 2: Convert to fraction form
    533,288.80/798,766.80 = 414,024.40/x
  3. Step 3: Cross multiply
    533,288.80x = 798,766.80 × 414,024.40
  4. Step 4: Simplify right side
    533,288.80x = 330,708,945,109.92
  5. Step 5: Solve for x
    x = 330,708,945,109.92/533,288.80
  6. Step 6: Final answer
    x = 620,131.05

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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.