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Finding the Fourth Proportional to 400,842.02, 601,248.44 and 120,351.98

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Solution

The fourth proportional to 400,842.02, 601,248.44 and 120,351.98 is: 180,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,842.02 : 601,248.44 = 120,351.98 : x
  2. Step 2: Convert to fraction form
    400,842.02/601,248.44 = 120,351.98/x
  3. Step 3: Cross multiply
    400,842.02x = 601,248.44 × 120,351.98
  4. Step 4: Simplify right side
    400,842.02x = 72,361,440,225.91
  5. Step 5: Solve for x
    x = 72,361,440,225.91/400,842.02
  6. Step 6: Final answer
    x = 180,523.59

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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.