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Finding the Fourth Proportional to 461,165.68, 687,163.94 and 410,859.22

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Solution

The fourth proportional to 461,165.68, 687,163.94 and 410,859.22 is: 612,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,165.68 : 687,163.94 = 410,859.22 : x
  2. Step 2: Convert to fraction form
    461,165.68/687,163.94 = 410,859.22/x
  3. Step 3: Cross multiply
    461,165.68x = 687,163.94 × 410,859.22
  4. Step 4: Simplify right side
    461,165.68x = 282,327,640,400.53
  5. Step 5: Solve for x
    x = 282,327,640,400.53/461,165.68
  6. Step 6: Final answer
    x = 612,204.36

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1.5x scale

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.