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Finding the Fourth Proportional to 413,475.35, 620,059.93 and 147,164.36

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Solution

The fourth proportional to 413,475.35, 620,059.93 and 147,164.36 is: 220,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,475.35 : 620,059.93 = 147,164.36 : x
  2. Step 2: Convert to fraction form
    413,475.35/620,059.93 = 147,164.36/x
  3. Step 3: Cross multiply
    413,475.35x = 620,059.93 × 147,164.36
  4. Step 4: Simplify right side
    413,475.35x = 91,250,719,291.88
  5. Step 5: Solve for x
    x = 91,250,719,291.88/413,475.35
  6. Step 6: Final answer
    x = 220,692.04

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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.