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Finding the Fourth Proportional to 585,505.01, 878,260.26 and 180,692.24

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Solution

The fourth proportional to 585,505.01, 878,260.26 and 180,692.24 is: 271,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,505.01 : 878,260.26 = 180,692.24 : x
  2. Step 2: Convert to fraction form
    585,505.01/878,260.26 = 180,692.24/x
  3. Step 3: Cross multiply
    585,505.01x = 878,260.26 × 180,692.24
  4. Step 4: Simplify right side
    585,505.01x = 158,694,813,682.38
  5. Step 5: Solve for x
    x = 158,694,813,682.38/585,505.01
  6. Step 6: Final answer
    x = 271,039.21

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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.