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Finding the Fourth Proportional to 559,212.26, 838,942.92 and 204,225.71

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Solution

The fourth proportional to 559,212.26, 838,942.92 and 204,225.71 is: 306,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,212.26 : 838,942.92 = 204,225.71 : x
  2. Step 2: Convert to fraction form
    559,212.26/838,942.92 = 204,225.71/x
  3. Step 3: Cross multiply
    559,212.26x = 838,942.92 × 204,225.71
  4. Step 4: Simplify right side
    559,212.26x = 171,333,709,291.76
  5. Step 5: Solve for x
    x = 171,333,709,291.76/559,212.26
  6. Step 6: Final answer
    x = 306,384.04

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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.