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Finding the Fourth Proportional to 509,527.26, 764,293.62 and 154,541.62

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Solution

The fourth proportional to 509,527.26, 764,293.62 and 154,541.62 is: 231,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,527.26 : 764,293.62 = 154,541.62 : x
  2. Step 2: Convert to fraction form
    509,527.26/764,293.62 = 154,541.62/x
  3. Step 3: Cross multiply
    509,527.26x = 764,293.62 × 154,541.62
  4. Step 4: Simplify right side
    509,527.26x = 118,115,175,725.36
  5. Step 5: Solve for x
    x = 118,115,175,725.36/509,527.26
  6. Step 6: Final answer
    x = 231,813.26

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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.