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Finding the Fourth Proportional to 402,817.17, 604,096.41 and 132,884.64

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Solution

The fourth proportional to 402,817.17, 604,096.41 and 132,884.64 is: 199,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,817.17 : 604,096.41 = 132,884.64 : x
  2. Step 2: Convert to fraction form
    402,817.17/604,096.41 = 132,884.64/x
  3. Step 3: Cross multiply
    402,817.17x = 604,096.41 × 132,884.64
  4. Step 4: Simplify right side
    402,817.17x = 80,275,133,968.14
  5. Step 5: Solve for x
    x = 80,275,133,968.14/402,817.17
  6. Step 6: Final answer
    x = 199,284.29

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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.