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Finding the Fourth Proportional to 513,160.52, 769,866.28 and 361,653.21

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Solution

The fourth proportional to 513,160.52, 769,866.28 and 361,653.21 is: 542,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,160.52 : 769,866.28 = 361,653.21 : x
  2. Step 2: Convert to fraction form
    513,160.52/769,866.28 = 361,653.21/x
  3. Step 3: Cross multiply
    513,160.52x = 769,866.28 × 361,653.21
  4. Step 4: Simplify right side
    513,160.52x = 278,424,610,528.63
  5. Step 5: Solve for x
    x = 278,424,610,528.63/513,160.52
  6. Step 6: Final answer
    x = 542,568.27

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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.