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Finding the Fourth Proportional to 290,674.32, 436,007.14 and 80,307.60

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Solution

The fourth proportional to 290,674.32, 436,007.14 and 80,307.60 is: 120,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,674.32 : 436,007.14 = 80,307.60 : x
  2. Step 2: Convert to fraction form
    290,674.32/436,007.14 = 80,307.60/x
  3. Step 3: Cross multiply
    290,674.32x = 436,007.14 × 80,307.60
  4. Step 4: Simplify right side
    290,674.32x = 35,014,686,996.26
  5. Step 5: Solve for x
    x = 35,014,686,996.26/290,674.32
  6. Step 6: Final answer
    x = 120,460.20

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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.