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Finding the Fourth Proportional to 384,340.19, 530,348.99 and 223,163.69

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Solution

The fourth proportional to 384,340.19, 530,348.99 and 223,163.69 is: 307,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,340.19 : 530,348.99 = 223,163.69 : x
  2. Step 2: Convert to fraction form
    384,340.19/530,348.99 = 223,163.69/x
  3. Step 3: Cross multiply
    384,340.19x = 530,348.99 × 223,163.69
  4. Step 4: Simplify right side
    384,340.19x = 118,354,633,828.61
  5. Step 5: Solve for x
    x = 118,354,633,828.61/384,340.19
  6. Step 6: Final answer
    x = 307,942.39

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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.