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Finding the Fourth Proportional to 533,469.80, 799,038.30 and 414,205.40

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Solution

The fourth proportional to 533,469.80, 799,038.30 and 414,205.40 is: 620,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,469.80 : 799,038.30 = 414,205.40 : x
  2. Step 2: Convert to fraction form
    533,469.80/799,038.30 = 414,205.40/x
  3. Step 3: Cross multiply
    533,469.80x = 799,038.30 × 414,205.40
  4. Step 4: Simplify right side
    533,469.80x = 330,965,978,666.82
  5. Step 5: Solve for x
    x = 330,965,978,666.82/533,469.80
  6. Step 6: Final answer
    x = 620,402.46

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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.