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Finding the Fourth Proportional to 306,960.93, 460,438.20 and 119,970.81

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Solution

The fourth proportional to 306,960.93, 460,438.20 and 119,970.81 is: 179,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,960.93 : 460,438.20 = 119,970.81 : x
  2. Step 2: Convert to fraction form
    306,960.93/460,438.20 = 119,970.81/x
  3. Step 3: Cross multiply
    306,960.93x = 460,438.20 × 119,970.81
  4. Step 4: Simplify right side
    306,960.93x = 55,239,143,808.94
  5. Step 5: Solve for x
    x = 55,239,143,808.94/306,960.93
  6. Step 6: Final answer
    x = 179,954.97

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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.