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Finding the Fourth Proportional to 471,181.80, 705,606.30 and 377,869.80

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Solution

The fourth proportional to 471,181.80, 705,606.30 and 377,869.80 is: 565,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,181.80 : 705,606.30 = 377,869.80 : x
  2. Step 2: Convert to fraction form
    471,181.80/705,606.30 = 377,869.80/x
  3. Step 3: Cross multiply
    471,181.80x = 705,606.30 × 377,869.80
  4. Step 4: Simplify right side
    471,181.80x = 266,627,311,459.74
  5. Step 5: Solve for x
    x = 266,627,311,459.74/471,181.80
  6. Step 6: Final answer
    x = 565,869.29

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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.