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Finding the Fourth Proportional to 354,733.40, 532,125.70 and 214,189.40

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Solution

The fourth proportional to 354,733.40, 532,125.70 and 214,189.40 is: 321,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,733.40 : 532,125.70 = 214,189.40 : x
  2. Step 2: Convert to fraction form
    354,733.40/532,125.70 = 214,189.40/x
  3. Step 3: Cross multiply
    354,733.40x = 532,125.70 × 214,189.40
  4. Step 4: Simplify right side
    354,733.40x = 113,975,684,407.58
  5. Step 5: Solve for x
    x = 113,975,684,407.58/354,733.40
  6. Step 6: Final answer
    x = 321,299.56

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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.