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Finding the Fourth Proportional to 509,798.24, 764,647.70 and 154,815.33

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Solution

The fourth proportional to 509,798.24, 764,647.70 and 154,815.33 is: 232,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,798.24 : 764,647.70 = 154,815.33 : x
  2. Step 2: Convert to fraction form
    509,798.24/764,647.70 = 154,815.33/x
  3. Step 3: Cross multiply
    509,798.24x = 764,647.70 × 154,815.33
  4. Step 4: Simplify right side
    509,798.24x = 118,379,188,102.59
  5. Step 5: Solve for x
    x = 118,379,188,102.59/509,798.24
  6. Step 6: Final answer
    x = 232,207.92

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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.