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Finding the Fourth Proportional to 519,605, 777,155.94 and 305,863.52

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Solution

The fourth proportional to 519,605, 777,155.94 and 305,863.52 is: 457,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,605 : 777,155.94 = 305,863.52 : x
  2. Step 2: Convert to fraction form
    519,605/777,155.94 = 305,863.52/x
  3. Step 3: Cross multiply
    519,605x = 777,155.94 × 305,863.52
  4. Step 4: Simplify right side
    519,605x = 237,703,651,397.31
  5. Step 5: Solve for x
    x = 237,703,651,397.31/519,605
  6. Step 6: Final answer
    x = 457,469.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.