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Finding the Fourth Proportional to 509,984.80, 764,977.20 and 177,560.80

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Solution

The fourth proportional to 509,984.80, 764,977.20 and 177,560.80 is: 266,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,984.80 : 764,977.20 = 177,560.80 : x
  2. Step 2: Convert to fraction form
    509,984.80/764,977.20 = 177,560.80/x
  3. Step 3: Cross multiply
    509,984.80x = 764,977.20 × 177,560.80
  4. Step 4: Simplify right side
    509,984.80x = 135,829,963,613.76
  5. Step 5: Solve for x
    x = 135,829,963,613.76/509,984.80
  6. Step 6: Final answer
    x = 266,341.20

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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.