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Finding the Fourth Proportional to 509,815.26, 764,673.35 and 154,832.40

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Solution

The fourth proportional to 509,815.26, 764,673.35 and 154,832.40 is: 232,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,815.26 : 764,673.35 = 154,832.40 : x
  2. Step 2: Convert to fraction form
    509,815.26/764,673.35 = 154,832.40/x
  3. Step 3: Cross multiply
    509,815.26x = 764,673.35 × 154,832.40
  4. Step 4: Simplify right side
    509,815.26x = 118,396,209,222.38
  5. Step 5: Solve for x
    x = 118,396,209,222.38/509,815.26
  6. Step 6: Final answer
    x = 232,233.55

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