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Finding the Fourth Proportional to 492,325, 734,623.25 and 462,231.88

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Solution

The fourth proportional to 492,325, 734,623.25 and 462,231.88 is: 689,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,325 : 734,623.25 = 462,231.88 : x
  2. Step 2: Convert to fraction form
    492,325/734,623.25 = 462,231.88/x
  3. Step 3: Cross multiply
    492,325x = 734,623.25 × 462,231.88
  4. Step 4: Simplify right side
    492,325x = 339,566,285,939.21
  5. Step 5: Solve for x
    x = 339,566,285,939.21/492,325
  6. Step 6: Final answer
    x = 689,719.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.