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Finding the Fourth Proportional to 588,214.50, 882,452.97 and 214,237.50

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Solution

The fourth proportional to 588,214.50, 882,452.97 and 214,237.50 is: 321,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,214.50 : 882,452.97 = 214,237.50 : x
  2. Step 2: Convert to fraction form
    588,214.50/882,452.97 = 214,237.50/x
  3. Step 3: Cross multiply
    588,214.50x = 882,452.97 × 214,237.50
  4. Step 4: Simplify right side
    588,214.50x = 189,054,518,160.38
  5. Step 5: Solve for x
    x = 189,054,518,160.38/588,214.50
  6. Step 6: Final answer
    x = 321,404.04

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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.