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Finding the Fourth Proportional to 509,916.60, 764,947.80 and 172,972.80

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Solution

The fourth proportional to 509,916.60, 764,947.80 and 172,972.80 is: 259,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,916.60 : 764,947.80 = 172,972.80 : x
  2. Step 2: Convert to fraction form
    509,916.60/764,947.80 = 172,972.80/x
  3. Step 3: Cross multiply
    509,916.60x = 764,947.80 × 172,972.80
  4. Step 4: Simplify right side
    509,916.60x = 132,315,162,819.84
  5. Step 5: Solve for x
    x = 132,315,162,819.84/509,916.60
  6. Step 6: Final answer
    x = 259,483.93

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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.