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Finding the Fourth Proportional to 509,665.34, 703,346.82 and 280,232.03

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Solution

The fourth proportional to 509,665.34, 703,346.82 and 280,232.03 is: 386,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,665.34 : 703,346.82 = 280,232.03 : x
  2. Step 2: Convert to fraction form
    509,665.34/703,346.82 = 280,232.03/x
  3. Step 3: Cross multiply
    509,665.34x = 703,346.82 × 280,232.03
  4. Step 4: Simplify right side
    509,665.34x = 197,100,307,162.65
  5. Step 5: Solve for x
    x = 197,100,307,162.65/509,665.34
  6. Step 6: Final answer
    x = 386,724.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.