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Finding the Fourth Proportional to 496,142.89, 684,728.03 and 292,257.99

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Solution

The fourth proportional to 496,142.89, 684,728.03 and 292,257.99 is: 403,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,142.89 : 684,728.03 = 292,257.99 : x
  2. Step 2: Convert to fraction form
    496,142.89/684,728.03 = 292,257.99/x
  3. Step 3: Cross multiply
    496,142.89x = 684,728.03 × 292,257.99
  4. Step 4: Simplify right side
    496,142.89x = 200,117,238,475.11
  5. Step 5: Solve for x
    x = 200,117,238,475.11/496,142.89
  6. Step 6: Final answer
    x = 403,345.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.