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Finding the Fourth Proportional to 509,527.32, 764,292.82 and 154,544.44

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Solution

The fourth proportional to 509,527.32, 764,292.82 and 154,544.44 is: 231,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,527.32 : 764,292.82 = 154,544.44 : x
  2. Step 2: Convert to fraction form
    509,527.32/764,292.82 = 154,544.44/x
  3. Step 3: Cross multiply
    509,527.32x = 764,292.82 × 154,544.44
  4. Step 4: Simplify right side
    509,527.32x = 118,117,205,862.92
  5. Step 5: Solve for x
    x = 118,117,205,862.92/509,527.32
  6. Step 6: Final answer
    x = 231,817.22

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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.