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Finding the Fourth Proportional to 400,807.67, 601,196.92 and 120,317.63

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Solution

The fourth proportional to 400,807.67, 601,196.92 and 120,317.63 is: 180,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,807.67 : 601,196.92 = 120,317.63 : x
  2. Step 2: Convert to fraction form
    400,807.67/601,196.92 = 120,317.63/x
  3. Step 3: Cross multiply
    400,807.67x = 601,196.92 × 120,317.63
  4. Step 4: Simplify right side
    400,807.67x = 72,334,585,270.92
  5. Step 5: Solve for x
    x = 72,334,585,270.92/400,807.67
  6. Step 6: Final answer
    x = 180,472.06

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Why These Related Problems?

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