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Finding the Fourth Proportional to 435,814.54, 652,315.64 and 225,162.70

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Solution

The fourth proportional to 435,814.54, 652,315.64 and 225,162.70 is: 337,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,814.54 : 652,315.64 = 225,162.70 : x
  2. Step 2: Convert to fraction form
    435,814.54/652,315.64 = 225,162.70/x
  3. Step 3: Cross multiply
    435,814.54x = 652,315.64 × 225,162.70
  4. Step 4: Simplify right side
    435,814.54x = 146,877,150,754.63
  5. Step 5: Solve for x
    x = 146,877,150,754.63/435,814.54
  6. Step 6: Final answer
    x = 337,017.56

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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.