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Finding the Fourth Proportional to 509,551.84, 764,329.60 and 154,568.96

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Solution

The fourth proportional to 509,551.84, 764,329.60 and 154,568.96 is: 231,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,551.84 : 764,329.60 = 154,568.96 : x
  2. Step 2: Convert to fraction form
    509,551.84/764,329.60 = 154,568.96/x
  3. Step 3: Cross multiply
    509,551.84x = 764,329.60 × 154,568.96
  4. Step 4: Simplify right side
    509,551.84x = 118,141,631,369.22
  5. Step 5: Solve for x
    x = 118,141,631,369.22/509,551.84
  6. Step 6: Final answer
    x = 231,854.00

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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.