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Finding the Fourth Proportional to 509,433.41, 764,817.86 and 341,704.18

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Solution

The fourth proportional to 509,433.41, 764,817.86 and 341,704.18 is: 513,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,433.41 : 764,817.86 = 341,704.18 : x
  2. Step 2: Convert to fraction form
    509,433.41/764,817.86 = 341,704.18/x
  3. Step 3: Cross multiply
    509,433.41x = 764,817.86 × 341,704.18
  4. Step 4: Simplify right side
    509,433.41x = 261,341,461,510.94
  5. Step 5: Solve for x
    x = 261,341,461,510.94/509,433.41
  6. Step 6: Final answer
    x = 513,004.16

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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.