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Finding the Fourth Proportional to 446,438.46, 616,089.63 and 242,491.38

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Solution

The fourth proportional to 446,438.46, 616,089.63 and 242,491.38 is: 334,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,438.46 : 616,089.63 = 242,491.38 : x
  2. Step 2: Convert to fraction form
    446,438.46/616,089.63 = 242,491.38/x
  3. Step 3: Cross multiply
    446,438.46x = 616,089.63 × 242,491.38
  4. Step 4: Simplify right side
    446,438.46x = 149,396,424,582.39
  5. Step 5: Solve for x
    x = 149,396,424,582.39/446,438.46
  6. Step 6: Final answer
    x = 334,640.58

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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.