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Finding the Fourth Proportional to 353,882.60, 529,614.30 and 213,741.80

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Solution

The fourth proportional to 353,882.60, 529,614.30 and 213,741.80 is: 319,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,882.60 : 529,614.30 = 213,741.80 : x
  2. Step 2: Convert to fraction form
    353,882.60/529,614.30 = 213,741.80/x
  3. Step 3: Cross multiply
    353,882.60x = 529,614.30 × 213,741.80
  4. Step 4: Simplify right side
    353,882.60x = 113,200,713,787.74
  5. Step 5: Solve for x
    x = 113,200,713,787.74/353,882.60
  6. Step 6: Final answer
    x = 319,882.11

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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.