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Finding the Fourth Proportional to 472,692.96, 652,321.92 and 281,816.16

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Solution

The fourth proportional to 472,692.96, 652,321.92 and 281,816.16 is: 388,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,692.96 : 652,321.92 = 281,816.16 : x
  2. Step 2: Convert to fraction form
    472,692.96/652,321.92 = 281,816.16/x
  3. Step 3: Cross multiply
    472,692.96x = 652,321.92 × 281,816.16
  4. Step 4: Simplify right side
    472,692.96x = 183,834,858,578.23
  5. Step 5: Solve for x
    x = 183,834,858,578.23/472,692.96
  6. Step 6: Final answer
    x = 388,909.66

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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.