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Finding the Fourth Proportional to 411,860.16, 617,922.72 and 187,300.80

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Solution

The fourth proportional to 411,860.16, 617,922.72 and 187,300.80 is: 281,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,860.16 : 617,922.72 = 187,300.80 : x
  2. Step 2: Convert to fraction form
    411,860.16/617,922.72 = 187,300.80/x
  3. Step 3: Cross multiply
    411,860.16x = 617,922.72 × 187,300.80
  4. Step 4: Simplify right side
    411,860.16x = 115,737,419,794.18
  5. Step 5: Solve for x
    x = 115,737,419,794.18/411,860.16
  6. Step 6: Final answer
    x = 281,011.45

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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.