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Finding the Fourth Proportional to 264,814.70, 396,703.65 and 159,320.30

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Solution

The fourth proportional to 264,814.70, 396,703.65 and 159,320.30 is: 238,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,814.70 : 396,703.65 = 159,320.30 : x
  2. Step 2: Convert to fraction form
    264,814.70/396,703.65 = 159,320.30/x
  3. Step 3: Cross multiply
    264,814.70x = 396,703.65 × 159,320.30
  4. Step 4: Simplify right side
    264,814.70x = 63,202,944,529.10
  5. Step 5: Solve for x
    x = 63,202,944,529.10/264,814.70
  6. Step 6: Final answer
    x = 238,668.57

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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.