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Finding the Fourth Proportional to 517,214.53, 775,813.99 and 232,704.16

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Solution

The fourth proportional to 517,214.53, 775,813.99 and 232,704.16 is: 349,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,214.53 : 775,813.99 = 232,704.16 : x
  2. Step 2: Convert to fraction form
    517,214.53/775,813.99 = 232,704.16/x
  3. Step 3: Cross multiply
    517,214.53x = 775,813.99 × 232,704.16
  4. Step 4: Simplify right side
    517,214.53x = 180,535,140,337.90
  5. Step 5: Solve for x
    x = 180,535,140,337.90/517,214.53
  6. Step 6: Final answer
    x = 349,052.73

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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.