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Finding the Fourth Proportional to 413,692.75, 620,574.86 and 114,173.38

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Solution

The fourth proportional to 413,692.75, 620,574.86 and 114,173.38 is: 171,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,692.75 : 620,574.86 = 114,173.38 : x
  2. Step 2: Convert to fraction form
    413,692.75/620,574.86 = 114,173.38/x
  3. Step 3: Cross multiply
    413,692.75x = 620,574.86 × 114,173.38
  4. Step 4: Simplify right side
    413,692.75x = 70,853,128,043.22
  5. Step 5: Solve for x
    x = 70,853,128,043.22/413,692.75
  6. Step 6: Final answer
    x = 171,269.93

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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.