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Finding the Fourth Proportional to 509,019.68, 762,865.32 and 284,371.04

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Solution

The fourth proportional to 509,019.68, 762,865.32 and 284,371.04 is: 426,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,019.68 : 762,865.32 = 284,371.04 : x
  2. Step 2: Convert to fraction form
    509,019.68/762,865.32 = 284,371.04/x
  3. Step 3: Cross multiply
    509,019.68x = 762,865.32 × 284,371.04
  4. Step 4: Simplify right side
    509,019.68x = 216,936,804,428.33
  5. Step 5: Solve for x
    x = 216,936,804,428.33/509,019.68
  6. Step 6: Final answer
    x = 426,185.50

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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.