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Finding the Fourth Proportional to 463,010.80, 694,516.20 and 405,871.60

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Solution

The fourth proportional to 463,010.80, 694,516.20 and 405,871.60 is: 608,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,010.80 : 694,516.20 = 405,871.60 : x
  2. Step 2: Convert to fraction form
    463,010.80/694,516.20 = 405,871.60/x
  3. Step 3: Cross multiply
    463,010.80x = 694,516.20 × 405,871.60
  4. Step 4: Simplify right side
    463,010.80x = 281,884,401,319.92
  5. Step 5: Solve for x
    x = 281,884,401,319.92/463,010.80
  6. Step 6: Final answer
    x = 608,807.40

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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.