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Finding the Fourth Proportional to 411,722.08, 616,945.44 and 285,607.60

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Solution

The fourth proportional to 411,722.08, 616,945.44 and 285,607.60 is: 427,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,722.08 : 616,945.44 = 285,607.60 : x
  2. Step 2: Convert to fraction form
    411,722.08/616,945.44 = 285,607.60/x
  3. Step 3: Cross multiply
    411,722.08x = 616,945.44 × 285,607.60
  4. Step 4: Simplify right side
    411,722.08x = 176,204,306,449.34
  5. Step 5: Solve for x
    x = 176,204,306,449.34/411,722.08
  6. Step 6: Final answer
    x = 427,969.05

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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.