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Finding the Fourth Proportional to 340,768.34, 470,263.50 and 187,812.14

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Solution

The fourth proportional to 340,768.34, 470,263.50 and 187,812.14 is: 259,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,768.34 : 470,263.50 = 187,812.14 : x
  2. Step 2: Convert to fraction form
    340,768.34/470,263.50 = 187,812.14/x
  3. Step 3: Cross multiply
    340,768.34x = 470,263.50 × 187,812.14
  4. Step 4: Simplify right side
    340,768.34x = 88,321,194,298.89
  5. Step 5: Solve for x
    x = 88,321,194,298.89/340,768.34
  6. Step 6: Final answer
    x = 259,182.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.