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Finding the Fourth Proportional to 601,613.10, 902,419.65 and 533,961.90

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Solution

The fourth proportional to 601,613.10, 902,419.65 and 533,961.90 is: 800,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,613.10 : 902,419.65 = 533,961.90 : x
  2. Step 2: Convert to fraction form
    601,613.10/902,419.65 = 533,961.90/x
  3. Step 3: Cross multiply
    601,613.10x = 902,419.65 × 533,961.90
  4. Step 4: Simplify right side
    601,613.10x = 481,857,710,911.34
  5. Step 5: Solve for x
    x = 481,857,710,911.34/601,613.10
  6. Step 6: Final answer
    x = 800,942.85

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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.