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Finding the Fourth Proportional to 406,546.50, 609,849.83 and 122,214.63

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Solution

The fourth proportional to 406,546.50, 609,849.83 and 122,214.63 is: 183,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,546.50 : 609,849.83 = 122,214.63 : x
  2. Step 2: Convert to fraction form
    406,546.50/609,849.83 = 122,214.63/x
  3. Step 3: Cross multiply
    406,546.50x = 609,849.83 × 122,214.63
  4. Step 4: Simplify right side
    406,546.50x = 74,532,571,329.01
  5. Step 5: Solve for x
    x = 74,532,571,329.01/406,546.50
  6. Step 6: Final answer
    x = 183,330.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.