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Finding the Fourth Proportional to 382,276.96, 573,182.16 and 157,567.84

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Solution

The fourth proportional to 382,276.96, 573,182.16 and 157,567.84 is: 236,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,276.96 : 573,182.16 = 157,567.84 : x
  2. Step 2: Convert to fraction form
    382,276.96/573,182.16 = 157,567.84/x
  3. Step 3: Cross multiply
    382,276.96x = 573,182.16 × 157,567.84
  4. Step 4: Simplify right side
    382,276.96x = 90,315,074,877.73
  5. Step 5: Solve for x
    x = 90,315,074,877.73/382,276.96
  6. Step 6: Final answer
    x = 236,255.61

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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.