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Finding the Fourth Proportional to 509,693.52, 764,450.88 and 194,169.36

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Solution

The fourth proportional to 509,693.52, 764,450.88 and 194,169.36 is: 291,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,693.52 : 764,450.88 = 194,169.36 : x
  2. Step 2: Convert to fraction form
    509,693.52/764,450.88 = 194,169.36/x
  3. Step 3: Cross multiply
    509,693.52x = 764,450.88 × 194,169.36
  4. Step 4: Simplify right side
    509,693.52x = 148,432,938,121.04
  5. Step 5: Solve for x
    x = 148,432,938,121.04/509,693.52
  6. Step 6: Final answer
    x = 291,219.98

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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.