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Finding the Fourth Proportional to 411,416.20, 617,003.34 and 174,757

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Solution

The fourth proportional to 411,416.20, 617,003.34 and 174,757 is: 262,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416.20 : 617,003.34 = 174,757 : x
  2. Step 2: Convert to fraction form
    411,416.20/617,003.34 = 174,757/x
  3. Step 3: Cross multiply
    411,416.20x = 617,003.34 × 174,757
  4. Step 4: Simplify right side
    411,416.20x = 107,825,652,688.38
  5. Step 5: Solve for x
    x = 107,825,652,688.38/411,416.20
  6. Step 6: Final answer
    x = 262,084.12

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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.