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Finding the Fourth Proportional to 587,814.21, 882,113.76 and 213,837.21

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Solution

The fourth proportional to 587,814.21, 882,113.76 and 213,837.21 is: 320,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,814.21 : 882,113.76 = 213,837.21 : x
  2. Step 2: Convert to fraction form
    587,814.21/882,113.76 = 213,837.21/x
  3. Step 3: Cross multiply
    587,814.21x = 882,113.76 × 213,837.21
  4. Step 4: Simplify right side
    587,814.21x = 188,628,745,341.01
  5. Step 5: Solve for x
    x = 188,628,745,341.01/587,814.21
  6. Step 6: Final answer
    x = 320,898.58

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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.