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Finding the Fourth Proportional to 307,020.97, 460,309.11 and 129,430.50

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Solution

The fourth proportional to 307,020.97, 460,309.11 and 129,430.50 is: 194,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,020.97 : 460,309.11 = 129,430.50 : x
  2. Step 2: Convert to fraction form
    307,020.97/460,309.11 = 129,430.50/x
  3. Step 3: Cross multiply
    307,020.97x = 460,309.11 × 129,430.50
  4. Step 4: Simplify right side
    307,020.97x = 59,578,035,960.31
  5. Step 5: Solve for x
    x = 59,578,035,960.31/307,020.97
  6. Step 6: Final answer
    x = 194,052.01

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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.