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Finding the Fourth Proportional to 382,318.16, 573,698.52 and 157,636.72

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Solution

The fourth proportional to 382,318.16, 573,698.52 and 157,636.72 is: 236,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,318.16 : 573,698.52 = 157,636.72 : x
  2. Step 2: Convert to fraction form
    382,318.16/573,698.52 = 157,636.72/x
  3. Step 3: Cross multiply
    382,318.16x = 573,698.52 × 157,636.72
  4. Step 4: Simplify right side
    382,318.16x = 90,435,952,961.65
  5. Step 5: Solve for x
    x = 90,435,952,961.65/382,318.16
  6. Step 6: Final answer
    x = 236,546.32

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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.