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Finding the Fourth Proportional to 538,400.40, 806,693.40 and 425,648.40

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Solution

The fourth proportional to 538,400.40, 806,693.40 and 425,648.40 is: 637,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,400.40 : 806,693.40 = 425,648.40 : x
  2. Step 2: Convert to fraction form
    538,400.40/806,693.40 = 425,648.40/x
  3. Step 3: Cross multiply
    538,400.40x = 806,693.40 × 425,648.40
  4. Step 4: Simplify right side
    538,400.40x = 343,367,755,000.56
  5. Step 5: Solve for x
    x = 343,367,755,000.56/538,400.40
  6. Step 6: Final answer
    x = 637,755.39

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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.