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Finding the Fourth Proportional to 499,314.90, 689,049.39 and 284,459.58

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Solution

The fourth proportional to 499,314.90, 689,049.39 and 284,459.58 is: 392,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,314.90 : 689,049.39 = 284,459.58 : x
  2. Step 2: Convert to fraction form
    499,314.90/689,049.39 = 284,459.58/x
  3. Step 3: Cross multiply
    499,314.90x = 689,049.39 × 284,459.58
  4. Step 4: Simplify right side
    499,314.90x = 196,006,700,078.66
  5. Step 5: Solve for x
    x = 196,006,700,078.66/499,314.90
  6. Step 6: Final answer
    x = 392,551.27

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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.