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Finding the Fourth Proportional to 492,731.80, 739,097.70 and 413,015.65

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Solution

The fourth proportional to 492,731.80, 739,097.70 and 413,015.65 is: 619,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,731.80 : 739,097.70 = 413,015.65 : x
  2. Step 2: Convert to fraction form
    492,731.80/739,097.70 = 413,015.65/x
  3. Step 3: Cross multiply
    492,731.80x = 739,097.70 × 413,015.65
  4. Step 4: Simplify right side
    492,731.80x = 305,258,916,979.01
  5. Step 5: Solve for x
    x = 305,258,916,979.01/492,731.80
  6. Step 6: Final answer
    x = 619,523.48

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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.