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Finding the Fourth Proportional to 411,781.67, 616,868.07 and 283,675.35

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Solution

The fourth proportional to 411,781.67, 616,868.07 and 283,675.35 is: 424,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,781.67 : 616,868.07 = 283,675.35 : x
  2. Step 2: Convert to fraction form
    411,781.67/616,868.07 = 283,675.35/x
  3. Step 3: Cross multiply
    411,781.67x = 616,868.07 × 283,675.35
  4. Step 4: Simplify right side
    411,781.67x = 174,990,267,203.25
  5. Step 5: Solve for x
    x = 174,990,267,203.25/411,781.67
  6. Step 6: Final answer
    x = 424,958.86

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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.