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Finding the Fourth Proportional to 545,692.88, 818,533.56 and 213,266

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Solution

The fourth proportional to 545,692.88, 818,533.56 and 213,266 is: 319,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,692.88 : 818,533.56 = 213,266 : x
  2. Step 2: Convert to fraction form
    545,692.88/818,533.56 = 213,266/x
  3. Step 3: Cross multiply
    545,692.88x = 818,533.56 × 213,266
  4. Step 4: Simplify right side
    545,692.88x = 174,565,378,206.96
  5. Step 5: Solve for x
    x = 174,565,378,206.96/545,692.88
  6. Step 6: Final answer
    x = 319,896.75

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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.