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Finding the Fourth Proportional to 427,893.12, 641,812.80 and 112,343.04

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Solution

The fourth proportional to 427,893.12, 641,812.80 and 112,343.04 is: 168,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,893.12 : 641,812.80 = 112,343.04 : x
  2. Step 2: Convert to fraction form
    427,893.12/641,812.80 = 112,343.04/x
  3. Step 3: Cross multiply
    427,893.12x = 641,812.80 × 112,343.04
  4. Step 4: Simplify right side
    427,893.12x = 72,103,201,062.91
  5. Step 5: Solve for x
    x = 72,103,201,062.91/427,893.12
  6. Step 6: Final answer
    x = 168,507.50

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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.