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Finding the Fourth Proportional to 509,504.72, 764,274.10 and 229,022.78

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Solution

The fourth proportional to 509,504.72, 764,274.10 and 229,022.78 is: 343,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,504.72 : 764,274.10 = 229,022.78 : x
  2. Step 2: Convert to fraction form
    509,504.72/764,274.10 = 229,022.78/x
  3. Step 3: Cross multiply
    509,504.72x = 764,274.10 × 229,022.78
  4. Step 4: Simplify right side
    509,504.72x = 175,036,179,064.00
  5. Step 5: Solve for x
    x = 175,036,179,064.00/509,504.72
  6. Step 6: Final answer
    x = 343,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.