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Finding the Fourth Proportional to 392,924.65, 589,391.09 and 314,537.17

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Solution

The fourth proportional to 392,924.65, 589,391.09 and 314,537.17 is: 471,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,924.65 : 589,391.09 = 314,537.17 : x
  2. Step 2: Convert to fraction form
    392,924.65/589,391.09 = 314,537.17/x
  3. Step 3: Cross multiply
    392,924.65x = 589,391.09 × 314,537.17
  4. Step 4: Simplify right side
    392,924.65x = 185,385,405,471.82
  5. Step 5: Solve for x
    x = 185,385,405,471.82/392,924.65
  6. Step 6: Final answer
    x = 471,809.05

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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.