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Finding the Fourth Proportional to 497,194.20, 745,791.30 and 447,427.80

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Solution

The fourth proportional to 497,194.20, 745,791.30 and 447,427.80 is: 671,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,194.20 : 745,791.30 = 447,427.80 : x
  2. Step 2: Convert to fraction form
    497,194.20/745,791.30 = 447,427.80/x
  3. Step 3: Cross multiply
    497,194.20x = 745,791.30 × 447,427.80
  4. Step 4: Simplify right side
    497,194.20x = 333,687,760,618.14
  5. Step 5: Solve for x
    x = 333,687,760,618.14/497,194.20
  6. Step 6: Final answer
    x = 671,141.70

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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.