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Finding the Fourth Proportional to 588,410.68, 882,616.38 and 411,263.56

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Solution

The fourth proportional to 588,410.68, 882,616.38 and 411,263.56 is: 616,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,410.68 : 882,616.38 = 411,263.56 : x
  2. Step 2: Convert to fraction form
    588,410.68/882,616.38 = 411,263.56/x
  3. Step 3: Cross multiply
    588,410.68x = 882,616.38 × 411,263.56
  4. Step 4: Simplify right side
    588,410.68x = 362,987,954,553.11
  5. Step 5: Solve for x
    x = 362,987,954,553.11/588,410.68
  6. Step 6: Final answer
    x = 616,895.59

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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.