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Finding the Fourth Proportional to 602,893.96, 832,080.20 and 361,186.72

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Solution

The fourth proportional to 602,893.96, 832,080.20 and 361,186.72 is: 498,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,893.96 : 832,080.20 = 361,186.72 : x
  2. Step 2: Convert to fraction form
    602,893.96/832,080.20 = 361,186.72/x
  3. Step 3: Cross multiply
    602,893.96x = 832,080.20 × 361,186.72
  4. Step 4: Simplify right side
    602,893.96x = 300,536,318,214.94
  5. Step 5: Solve for x
    x = 300,536,318,214.94/602,893.96
  6. Step 6: Final answer
    x = 498,489.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.