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Finding the Fourth Proportional to 411,415.20, 617,001.84 and 174,756

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Solution

The fourth proportional to 411,415.20, 617,001.84 and 174,756 is: 262,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,415.20 : 617,001.84 = 174,756 : x
  2. Step 2: Convert to fraction form
    411,415.20/617,001.84 = 174,756/x
  3. Step 3: Cross multiply
    411,415.20x = 617,001.84 × 174,756
  4. Step 4: Simplify right side
    411,415.20x = 107,824,773,551.04
  5. Step 5: Solve for x
    x = 107,824,773,551.04/411,415.20
  6. Step 6: Final answer
    x = 262,082.62

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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.