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Finding the Fourth Proportional to 413,692.00, 620,573.74 and 114,172.63

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Solution

The fourth proportional to 413,692.00, 620,573.74 and 114,172.63 is: 171,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,692.00 : 620,573.74 = 114,172.63 : x
  2. Step 2: Convert to fraction form
    413,692.00/620,573.74 = 114,172.63/x
  3. Step 3: Cross multiply
    413,692.00x = 620,573.74 × 114,172.63
  4. Step 4: Simplify right side
    413,692.00x = 70,852,534,167.87
  5. Step 5: Solve for x
    x = 70,852,534,167.87/413,692.00
  6. Step 6: Final answer
    x = 171,268.81

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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.