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Finding the Fourth Proportional to 496,171.92, 684,768.12 and 292,287

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Solution

The fourth proportional to 496,171.92, 684,768.12 and 292,287 is: 403,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,171.92 : 684,768.12 = 292,287 : x
  2. Step 2: Convert to fraction form
    496,171.92/684,768.12 = 292,287/x
  3. Step 3: Cross multiply
    496,171.92x = 684,768.12 × 292,287
  4. Step 4: Simplify right side
    496,171.92x = 200,148,819,490.44
  5. Step 5: Solve for x
    x = 200,148,819,490.44/496,171.92
  6. Step 6: Final answer
    x = 403,386.03

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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.