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Finding the Fourth Proportional to 474,185.75, 654,419.96 and 283,195.04

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Solution

The fourth proportional to 474,185.75, 654,419.96 and 283,195.04 is: 390,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,185.75 : 654,419.96 = 283,195.04 : x
  2. Step 2: Convert to fraction form
    474,185.75/654,419.96 = 283,195.04/x
  3. Step 3: Cross multiply
    474,185.75x = 654,419.96 × 283,195.04
  4. Step 4: Simplify right side
    474,185.75x = 185,328,483,122.91
  5. Step 5: Solve for x
    x = 185,328,483,122.91/474,185.75
  6. Step 6: Final answer
    x = 390,835.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.