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Finding the Fourth Proportional to 400,685.34, 601,125.21 and 120,202.59

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Solution

The fourth proportional to 400,685.34, 601,125.21 and 120,202.59 is: 180,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,685.34 : 601,125.21 = 120,202.59 : x
  2. Step 2: Convert to fraction form
    400,685.34/601,125.21 = 120,202.59/x
  3. Step 3: Cross multiply
    400,685.34x = 601,125.21 × 120,202.59
  4. Step 4: Simplify right side
    400,685.34x = 72,256,807,156.29
  5. Step 5: Solve for x
    x = 72,256,807,156.29/400,685.34
  6. Step 6: Final answer
    x = 180,333.04

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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.