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Finding the Fourth Proportional to 382,476.40, 573,714.60 and 341,142.10

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Solution

The fourth proportional to 382,476.40, 573,714.60 and 341,142.10 is: 511,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,476.40 : 573,714.60 = 341,142.10 : x
  2. Step 2: Convert to fraction form
    382,476.40/573,714.60 = 341,142.10/x
  3. Step 3: Cross multiply
    382,476.40x = 573,714.60 × 341,142.10
  4. Step 4: Simplify right side
    382,476.40x = 195,718,203,444.66
  5. Step 5: Solve for x
    x = 195,718,203,444.66/382,476.40
  6. Step 6: Final answer
    x = 511,713.15

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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.