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Finding the Fourth Proportional to 657,205.48, 906,121.78 and 548,466.22

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Solution

The fourth proportional to 657,205.48, 906,121.78 and 548,466.22 is: 756,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,205.48 : 906,121.78 = 548,466.22 : x
  2. Step 2: Convert to fraction form
    657,205.48/906,121.78 = 548,466.22/x
  3. Step 3: Cross multiply
    657,205.48x = 906,121.78 × 548,466.22
  4. Step 4: Simplify right side
    657,205.48x = 496,977,187,536.27
  5. Step 5: Solve for x
    x = 496,977,187,536.27/657,205.48
  6. Step 6: Final answer
    x = 756,197.57

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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.