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Finding the Fourth Proportional to 461,172.46, 687,173.97 and 410,866

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Solution

The fourth proportional to 461,172.46, 687,173.97 and 410,866 is: 612,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,172.46 : 687,173.97 = 410,866 : x
  2. Step 2: Convert to fraction form
    461,172.46/687,173.97 = 410,866/x
  3. Step 3: Cross multiply
    461,172.46x = 687,173.97 × 410,866
  4. Step 4: Simplify right side
    461,172.46x = 282,336,420,358.02
  5. Step 5: Solve for x
    x = 282,336,420,358.02/461,172.46
  6. Step 6: Final answer
    x = 612,214.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.