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Finding the Fourth Proportional to 498,569.21, 687,198.26 and 353,188.71

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Solution

The fourth proportional to 498,569.21, 687,198.26 and 353,188.71 is: 486,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,569.21 : 687,198.26 = 353,188.71 : x
  2. Step 2: Convert to fraction form
    498,569.21/687,198.26 = 353,188.71/x
  3. Step 3: Cross multiply
    498,569.21x = 687,198.26 × 353,188.71
  4. Step 4: Simplify right side
    498,569.21x = 242,710,665,197.70
  5. Step 5: Solve for x
    x = 242,710,665,197.70/498,569.21
  6. Step 6: Final answer
    x = 486,814.39

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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.