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Finding the Fourth Proportional to 442,834.34, 664,261.77 and 158,544.32

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Solution

The fourth proportional to 442,834.34, 664,261.77 and 158,544.32 is: 237,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,834.34 : 664,261.77 = 158,544.32 : x
  2. Step 2: Convert to fraction form
    442,834.34/664,261.77 = 158,544.32/x
  3. Step 3: Cross multiply
    442,834.34x = 664,261.77 × 158,544.32
  4. Step 4: Simplify right side
    442,834.34x = 105,314,930,626.65
  5. Step 5: Solve for x
    x = 105,314,930,626.65/442,834.34
  6. Step 6: Final answer
    x = 237,820.15

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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.