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Finding the Fourth Proportional to 522,942.40, 784,310.24 and 143,765.28

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Solution

The fourth proportional to 522,942.40, 784,310.24 and 143,765.28 is: 215,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,942.40 : 784,310.24 = 143,765.28 : x
  2. Step 2: Convert to fraction form
    522,942.40/784,310.24 = 143,765.28/x
  3. Step 3: Cross multiply
    522,942.40x = 784,310.24 × 143,765.28
  4. Step 4: Simplify right side
    522,942.40x = 112,756,581,260.47
  5. Step 5: Solve for x
    x = 112,756,581,260.47/522,942.40
  6. Step 6: Final answer
    x = 215,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.