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Finding the Fourth Proportional to 365,194.34, 547,619.11 and 213,434.96

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Solution

The fourth proportional to 365,194.34, 547,619.11 and 213,434.96 is: 320,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,194.34 : 547,619.11 = 213,434.96 : x
  2. Step 2: Convert to fraction form
    365,194.34/547,619.11 = 213,434.96/x
  3. Step 3: Cross multiply
    365,194.34x = 547,619.11 × 213,434.96
  4. Step 4: Simplify right side
    365,194.34x = 116,881,062,096.84
  5. Step 5: Solve for x
    x = 116,881,062,096.84/365,194.34
  6. Step 6: Final answer
    x = 320,051.68

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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.