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Finding the Fourth Proportional to 471,185.40, 706,518.90 and 204,900.60

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Solution

The fourth proportional to 471,185.40, 706,518.90 and 204,900.60 is: 307,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,185.40 : 706,518.90 = 204,900.60 : x
  2. Step 2: Convert to fraction form
    471,185.40/706,518.90 = 204,900.60/x
  3. Step 3: Cross multiply
    471,185.40x = 706,518.90 × 204,900.60
  4. Step 4: Simplify right side
    471,185.40x = 144,766,146,521.34
  5. Step 5: Solve for x
    x = 144,766,146,521.34/471,185.40
  6. Step 6: Final answer
    x = 307,238.18

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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.