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Finding the Fourth Proportional to 382,294.19, 573,662.42 and 157,612.75

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Solution

The fourth proportional to 382,294.19, 573,662.42 and 157,612.75 is: 236,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,294.19 : 573,662.42 = 157,612.75 : x
  2. Step 2: Convert to fraction form
    382,294.19/573,662.42 = 157,612.75/x
  3. Step 3: Cross multiply
    382,294.19x = 573,662.42 × 157,612.75
  4. Step 4: Simplify right side
    382,294.19x = 90,416,511,587.86
  5. Step 5: Solve for x
    x = 90,416,511,587.86/382,294.19
  6. Step 6: Final answer
    x = 236,510.29

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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.