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Finding the Fourth Proportional to 475,286.36, 712,692.32 and 155,396.56

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Solution

The fourth proportional to 475,286.36, 712,692.32 and 155,396.56 is: 233,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,286.36 : 712,692.32 = 155,396.56 : x
  2. Step 2: Convert to fraction form
    475,286.36/712,692.32 = 155,396.56/x
  3. Step 3: Cross multiply
    475,286.36x = 712,692.32 × 155,396.56
  4. Step 4: Simplify right side
    475,286.36x = 110,749,934,866.42
  5. Step 5: Solve for x
    x = 110,749,934,866.42/475,286.36
  6. Step 6: Final answer
    x = 233,017.28

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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.