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Finding the Fourth Proportional to 499,369.23, 689,157.14 and 284,468.13

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Solution

The fourth proportional to 499,369.23, 689,157.14 and 284,468.13 is: 392,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,369.23 : 689,157.14 = 284,468.13 : x
  2. Step 2: Convert to fraction form
    499,369.23/689,157.14 = 284,468.13/x
  3. Step 3: Cross multiply
    499,369.23x = 689,157.14 × 284,468.13
  4. Step 4: Simplify right side
    499,369.23x = 196,043,241,469.61
  5. Step 5: Solve for x
    x = 196,043,241,469.61/499,369.23
  6. Step 6: Final answer
    x = 392,581.74

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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.