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Finding the Fourth Proportional to 496,774.32, 685,622.37 and 292,760.01

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Solution

The fourth proportional to 496,774.32, 685,622.37 and 292,760.01 is: 404,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,774.32 : 685,622.37 = 292,760.01 : x
  2. Step 2: Convert to fraction form
    496,774.32/685,622.37 = 292,760.01/x
  3. Step 3: Cross multiply
    496,774.32x = 685,622.37 × 292,760.01
  4. Step 4: Simplify right side
    496,774.32x = 200,722,811,897.42
  5. Step 5: Solve for x
    x = 200,722,811,897.42/496,774.32
  6. Step 6: Final answer
    x = 404,052.31

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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.