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Finding the Fourth Proportional to 471,172.80, 705,592.80 and 377,860.80

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Solution

The fourth proportional to 471,172.80, 705,592.80 and 377,860.80 is: 565,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,172.80 : 705,592.80 = 377,860.80 : x
  2. Step 2: Convert to fraction form
    471,172.80/705,592.80 = 377,860.80/x
  3. Step 3: Cross multiply
    471,172.80x = 705,592.80 × 377,860.80
  4. Step 4: Simplify right side
    471,172.80x = 266,615,859,882.24
  5. Step 5: Solve for x
    x = 266,615,859,882.24/471,172.80
  6. Step 6: Final answer
    x = 565,855.80

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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.