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Finding the Fourth Proportional to 514,556.20, 771,834.30 and 159,606.10

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Solution

The fourth proportional to 514,556.20, 771,834.30 and 159,606.10 is: 239,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,556.20 : 771,834.30 = 159,606.10 : x
  2. Step 2: Convert to fraction form
    514,556.20/771,834.30 = 159,606.10/x
  3. Step 3: Cross multiply
    514,556.20x = 771,834.30 × 159,606.10
  4. Step 4: Simplify right side
    514,556.20x = 123,189,462,469.23
  5. Step 5: Solve for x
    x = 123,189,462,469.23/514,556.20
  6. Step 6: Final answer
    x = 239,409.15

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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.