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Finding the Fourth Proportional to 509,560.20, 703,232.28 and 305,618.94

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Solution

The fourth proportional to 509,560.20, 703,232.28 and 305,618.94 is: 421,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,560.20 : 703,232.28 = 305,618.94 : x
  2. Step 2: Convert to fraction form
    509,560.20/703,232.28 = 305,618.94/x
  3. Step 3: Cross multiply
    509,560.20x = 703,232.28 × 305,618.94
  4. Step 4: Simplify right side
    509,560.20x = 214,921,103,987.38
  5. Step 5: Solve for x
    x = 214,921,103,987.38/509,560.20
  6. Step 6: Final answer
    x = 421,777.65

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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.