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Finding the Fourth Proportional to 547,410.24, 755,427.15 and 305,692.02

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Solution

The fourth proportional to 547,410.24, 755,427.15 and 305,692.02 is: 421,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,410.24 : 755,427.15 = 305,692.02 : x
  2. Step 2: Convert to fraction form
    547,410.24/755,427.15 = 305,692.02/x
  3. Step 3: Cross multiply
    547,410.24x = 755,427.15 × 305,692.02
  4. Step 4: Simplify right side
    547,410.24x = 230,928,051,446.34
  5. Step 5: Solve for x
    x = 230,928,051,446.34/547,410.24
  6. Step 6: Final answer
    x = 421,855.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.