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Finding the Fourth Proportional to 406,409.20, 609,959.40 and 182,114.80

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Solution

The fourth proportional to 406,409.20, 609,959.40 and 182,114.80 is: 273,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,409.20 : 609,959.40 = 182,114.80 : x
  2. Step 2: Convert to fraction form
    406,409.20/609,959.40 = 182,114.80/x
  3. Step 3: Cross multiply
    406,409.20x = 609,959.40 × 182,114.80
  4. Step 4: Simplify right side
    406,409.20x = 111,082,634,139.12
  5. Step 5: Solve for x
    x = 111,082,634,139.12/406,409.20
  6. Step 6: Final answer
    x = 273,327.07

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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.