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Finding the Fourth Proportional to 657,103.70, 985,108.80 and 278,315.30

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Solution

The fourth proportional to 657,103.70, 985,108.80 and 278,315.30 is: 417,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,103.70 : 985,108.80 = 278,315.30 : x
  2. Step 2: Convert to fraction form
    657,103.70/985,108.80 = 278,315.30/x
  3. Step 3: Cross multiply
    657,103.70x = 985,108.80 × 278,315.30
  4. Step 4: Simplify right side
    657,103.70x = 274,170,851,204.64
  5. Step 5: Solve for x
    x = 274,170,851,204.64/657,103.70
  6. Step 6: Final answer
    x = 417,241.37

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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.