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Finding the Fourth Proportional to 288,940.52, 433,476.39 and 155,817.83

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Solution

The fourth proportional to 288,940.52, 433,476.39 and 155,817.83 is: 233,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,940.52 : 433,476.39 = 155,817.83 : x
  2. Step 2: Convert to fraction form
    288,940.52/433,476.39 = 155,817.83/x
  3. Step 3: Cross multiply
    288,940.52x = 433,476.39 × 155,817.83
  4. Step 4: Simplify right side
    288,940.52x = 67,543,348,361.02
  5. Step 5: Solve for x
    x = 67,543,348,361.02/288,940.52
  6. Step 6: Final answer
    x = 233,762.12

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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.