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Finding the Fourth Proportional to 598,098.60, 825,394.50 and 343,500.84

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Solution

The fourth proportional to 598,098.60, 825,394.50 and 343,500.84 is: 474,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,098.60 : 825,394.50 = 343,500.84 : x
  2. Step 2: Convert to fraction form
    598,098.60/825,394.50 = 343,500.84/x
  3. Step 3: Cross multiply
    598,098.60x = 825,394.50 × 343,500.84
  4. Step 4: Simplify right side
    598,098.60x = 283,523,704,081.38
  5. Step 5: Solve for x
    x = 283,523,704,081.38/598,098.60
  6. Step 6: Final answer
    x = 474,041.75

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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.