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Finding the Fourth Proportional to 400,682.34, 601,120.71 and 120,199.59

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Solution

The fourth proportional to 400,682.34, 601,120.71 and 120,199.59 is: 180,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,682.34 : 601,120.71 = 120,199.59 : x
  2. Step 2: Convert to fraction form
    400,682.34/601,120.71 = 120,199.59/x
  3. Step 3: Cross multiply
    400,682.34x = 601,120.71 × 120,199.59
  4. Step 4: Simplify right side
    400,682.34x = 72,254,462,882.51
  5. Step 5: Solve for x
    x = 72,254,462,882.51/400,682.34
  6. Step 6: Final answer
    x = 180,328.54

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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.