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Finding the Fourth Proportional to 496,314.21, 684,728.05 and 292,240.38

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Solution

The fourth proportional to 496,314.21, 684,728.05 and 292,240.38 is: 403,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,314.21 : 684,728.05 = 292,240.38 : x
  2. Step 2: Convert to fraction form
    496,314.21/684,728.05 = 292,240.38/x
  3. Step 3: Cross multiply
    496,314.21x = 684,728.05 × 292,240.38
  4. Step 4: Simplify right side
    496,314.21x = 200,105,185,528.66
  5. Step 5: Solve for x
    x = 200,105,185,528.66/496,314.21
  6. Step 6: Final answer
    x = 403,182.46

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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.