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Finding the Fourth Proportional to 460,143.84, 690,112.08 and 179,516.64

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Solution

The fourth proportional to 460,143.84, 690,112.08 and 179,516.64 is: 269,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,143.84 : 690,112.08 = 179,516.64 : x
  2. Step 2: Convert to fraction form
    460,143.84/690,112.08 = 179,516.64/x
  3. Step 3: Cross multiply
    460,143.84x = 690,112.08 × 179,516.64
  4. Step 4: Simplify right side
    460,143.84x = 123,886,601,825.01
  5. Step 5: Solve for x
    x = 123,886,601,825.01/460,143.84
  6. Step 6: Final answer
    x = 269,234.51

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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.