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Finding the Fourth Proportional to 305,246.70, 457,870.05 and 200,126.70

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Solution

The fourth proportional to 305,246.70, 457,870.05 and 200,126.70 is: 300,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,246.70 : 457,870.05 = 200,126.70 : x
  2. Step 2: Convert to fraction form
    305,246.70/457,870.05 = 200,126.70/x
  3. Step 3: Cross multiply
    305,246.70x = 457,870.05 × 200,126.70
  4. Step 4: Simplify right side
    305,246.70x = 91,632,022,135.34
  5. Step 5: Solve for x
    x = 91,632,022,135.34/305,246.70
  6. Step 6: Final answer
    x = 300,190.05

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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.