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Finding the Fourth Proportional to 496,825.23, 685,708.29 and 292,864.08

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Solution

The fourth proportional to 496,825.23, 685,708.29 and 292,864.08 is: 404,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,825.23 : 685,708.29 = 292,864.08 : x
  2. Step 2: Convert to fraction form
    496,825.23/685,708.29 = 292,864.08/x
  3. Step 3: Cross multiply
    496,825.23x = 685,708.29 × 292,864.08
  4. Step 4: Simplify right side
    496,825.23x = 200,819,327,499.22
  5. Step 5: Solve for x
    x = 200,819,327,499.22/496,825.23
  6. Step 6: Final answer
    x = 404,205.17

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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.