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Finding the Fourth Proportional to 306,563.72, 462,724.97 and 306,563.72

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Solution

The fourth proportional to 306,563.72, 462,724.97 and 306,563.72 is: 462,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,563.72 : 462,724.97 = 306,563.72 : x
  2. Step 2: Convert to fraction form
    306,563.72/462,724.97 = 306,563.72/x
  3. Step 3: Cross multiply
    306,563.72x = 462,724.97 × 306,563.72
  4. Step 4: Simplify right side
    306,563.72x = 141,854,684,293.65
  5. Step 5: Solve for x
    x = 141,854,684,293.65/306,563.72
  6. Step 6: Final answer
    x = 462,724.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.