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Finding the Fourth Proportional to 355,212.30, 532,818.45 and 214,898.70

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Solution

The fourth proportional to 355,212.30, 532,818.45 and 214,898.70 is: 322,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,212.30 : 532,818.45 = 214,898.70 : x
  2. Step 2: Convert to fraction form
    355,212.30/532,818.45 = 214,898.70/x
  3. Step 3: Cross multiply
    355,212.30x = 532,818.45 × 214,898.70
  4. Step 4: Simplify right side
    355,212.30x = 114,501,992,241.02
  5. Step 5: Solve for x
    x = 114,501,992,241.02/355,212.30
  6. Step 6: Final answer
    x = 322,348.05

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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.