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Finding the Fourth Proportional to 509,763.56, 703,491.38 and 280,330.24

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Solution

The fourth proportional to 509,763.56, 703,491.38 and 280,330.24 is: 386,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,763.56 : 703,491.38 = 280,330.24 : x
  2. Step 2: Convert to fraction form
    509,763.56/703,491.38 = 280,330.24/x
  3. Step 3: Cross multiply
    509,763.56x = 703,491.38 × 280,330.24
  4. Step 4: Simplify right side
    509,763.56x = 197,209,907,393.33
  5. Step 5: Solve for x
    x = 197,209,907,393.33/509,763.56
  6. Step 6: Final answer
    x = 386,865.45

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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.