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Finding the Fourth Proportional to 458,859.60, 687,617.10 and 411,474.60

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Solution

The fourth proportional to 458,859.60, 687,617.10 and 411,474.60 is: 616,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,859.60 : 687,617.10 = 411,474.60 : x
  2. Step 2: Convert to fraction form
    458,859.60/687,617.10 = 411,474.60/x
  3. Step 3: Cross multiply
    458,859.60x = 687,617.10 × 411,474.60
  4. Step 4: Simplify right side
    458,859.60x = 282,936,971,175.66
  5. Step 5: Solve for x
    x = 282,936,971,175.66/458,859.60
  6. Step 6: Final answer
    x = 616,609.03

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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.