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Finding the Fourth Proportional to 411,321.96, 616,598.46 and 144,933.48

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Solution

The fourth proportional to 411,321.96, 616,598.46 and 144,933.48 is: 217,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,321.96 : 616,598.46 = 144,933.48 : x
  2. Step 2: Convert to fraction form
    411,321.96/616,598.46 = 144,933.48/x
  3. Step 3: Cross multiply
    411,321.96x = 616,598.46 × 144,933.48
  4. Step 4: Simplify right side
    411,321.96x = 89,365,760,570.44
  5. Step 5: Solve for x
    x = 89,365,760,570.44/411,321.96
  6. Step 6: Final answer
    x = 217,264.74

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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.