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Finding the Fourth Proportional to 382,278.16, 573,096.48 and 169,011.64

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Solution

The fourth proportional to 382,278.16, 573,096.48 and 169,011.64 is: 253,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,278.16 : 573,096.48 = 169,011.64 : x
  2. Step 2: Convert to fraction form
    382,278.16/573,096.48 = 169,011.64/x
  3. Step 3: Cross multiply
    382,278.16x = 573,096.48 × 169,011.64
  4. Step 4: Simplify right side
    382,278.16x = 96,859,975,963.03
  5. Step 5: Solve for x
    x = 96,859,975,963.03/382,278.16
  6. Step 6: Final answer
    x = 253,375.65

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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.