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Finding the Fourth Proportional to 496,377.72, 684,773.74 and 292,330.96

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Solution

The fourth proportional to 496,377.72, 684,773.74 and 292,330.96 is: 403,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,377.72 : 684,773.74 = 292,330.96 : x
  2. Step 2: Convert to fraction form
    496,377.72/684,773.74 = 292,330.96/x
  3. Step 3: Cross multiply
    496,377.72x = 684,773.74 × 292,330.96
  4. Step 4: Simplify right side
    496,377.72x = 200,180,562,354.23
  5. Step 5: Solve for x
    x = 200,180,562,354.23/496,377.72
  6. Step 6: Final answer
    x = 403,282.73

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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.