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Finding the Fourth Proportional to 411,722.70, 617,814.45 and 175,025.10

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Solution

The fourth proportional to 411,722.70, 617,814.45 and 175,025.10 is: 262,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,722.70 : 617,814.45 = 175,025.10 : x
  2. Step 2: Convert to fraction form
    411,722.70/617,814.45 = 175,025.10/x
  3. Step 3: Cross multiply
    411,722.70x = 617,814.45 × 175,025.10
  4. Step 4: Simplify right side
    411,722.70x = 108,133,035,892.70
  5. Step 5: Solve for x
    x = 108,133,035,892.70/411,722.70
  6. Step 6: Final answer
    x = 262,635.59

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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.