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Finding the Fourth Proportional to 533,192.40, 798,233.40 and 477,205.20

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Solution

The fourth proportional to 533,192.40, 798,233.40 and 477,205.20 is: 714,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,192.40 : 798,233.40 = 477,205.20 : x
  2. Step 2: Convert to fraction form
    533,192.40/798,233.40 = 477,205.20/x
  3. Step 3: Cross multiply
    533,192.40x = 798,233.40 × 477,205.20
  4. Step 4: Simplify right side
    533,192.40x = 380,921,129,293.68
  5. Step 5: Solve for x
    x = 380,921,129,293.68/533,192.40
  6. Step 6: Final answer
    x = 714,415.90

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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.