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Finding the Fourth Proportional to 497,023.48, 685,798.14 and 293,138.38

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Solution

The fourth proportional to 497,023.48, 685,798.14 and 293,138.38 is: 404,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,023.48 : 685,798.14 = 293,138.38 : x
  2. Step 2: Convert to fraction form
    497,023.48/685,798.14 = 293,138.38/x
  3. Step 3: Cross multiply
    497,023.48x = 685,798.14 × 293,138.38
  4. Step 4: Simplify right side
    497,023.48x = 201,033,755,766.61
  5. Step 5: Solve for x
    x = 201,033,755,766.61/497,023.48
  6. Step 6: Final answer
    x = 404,475.37

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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.