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Finding the Fourth Proportional to 417,172.36, 575,692.50 and 226,185.16

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Solution

The fourth proportional to 417,172.36, 575,692.50 and 226,185.16 is: 312,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,172.36 : 575,692.50 = 226,185.16 : x
  2. Step 2: Convert to fraction form
    417,172.36/575,692.50 = 226,185.16/x
  3. Step 3: Cross multiply
    417,172.36x = 575,692.50 × 226,185.16
  4. Step 4: Simplify right side
    417,172.36x = 130,213,100,223.30
  5. Step 5: Solve for x
    x = 130,213,100,223.30/417,172.36
  6. Step 6: Final answer
    x = 312,132.62

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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.