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Finding the Fourth Proportional to 413,815.82, 620,711.46 and 114,314.42

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Solution

The fourth proportional to 413,815.82, 620,711.46 and 114,314.42 is: 171,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,815.82 : 620,711.46 = 114,314.42 : x
  2. Step 2: Convert to fraction form
    413,815.82/620,711.46 = 114,314.42/x
  3. Step 3: Cross multiply
    413,815.82x = 620,711.46 × 114,314.42
  4. Step 4: Simplify right side
    413,815.82x = 70,956,270,537.25
  5. Step 5: Solve for x
    x = 70,956,270,537.25/413,815.82
  6. Step 6: Final answer
    x = 171,468.24

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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.