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Finding the Fourth Proportional to 351,396.24, 484,800.84 and 200,405.76

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Solution

The fourth proportional to 351,396.24, 484,800.84 and 200,405.76 is: 276,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,396.24 : 484,800.84 = 200,405.76 : x
  2. Step 2: Convert to fraction form
    351,396.24/484,800.84 = 200,405.76/x
  3. Step 3: Cross multiply
    351,396.24x = 484,800.84 × 200,405.76
  4. Step 4: Simplify right side
    351,396.24x = 97,156,880,788.84
  5. Step 5: Solve for x
    x = 97,156,880,788.84/351,396.24
  6. Step 6: Final answer
    x = 276,488.11

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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.