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Finding the Fourth Proportional to 348,714.40, 523,071.60 and 327,719.20

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Solution

The fourth proportional to 348,714.40, 523,071.60 and 327,719.20 is: 491,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,714.40 : 523,071.60 = 327,719.20 : x
  2. Step 2: Convert to fraction form
    348,714.40/523,071.60 = 327,719.20/x
  3. Step 3: Cross multiply
    348,714.40x = 523,071.60 × 327,719.20
  4. Step 4: Simplify right side
    348,714.40x = 171,420,606,294.72
  5. Step 5: Solve for x
    x = 171,420,606,294.72/348,714.40
  6. Step 6: Final answer
    x = 491,578.80

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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.