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Finding the Fourth Proportional to 314,110.20, 470,013.30 and 231,166.20

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Solution

The fourth proportional to 314,110.20, 470,013.30 and 231,166.20 is: 345,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,110.20 : 470,013.30 = 231,166.20 : x
  2. Step 2: Convert to fraction form
    314,110.20/470,013.30 = 231,166.20/x
  3. Step 3: Cross multiply
    314,110.20x = 470,013.30 × 231,166.20
  4. Step 4: Simplify right side
    314,110.20x = 108,651,188,510.46
  5. Step 5: Solve for x
    x = 108,651,188,510.46/314,110.20
  6. Step 6: Final answer
    x = 345,901.50

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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.