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Finding the Fourth Proportional to 463,886.44, 640,163.38 and 282,598.31

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Solution

The fourth proportional to 463,886.44, 640,163.38 and 282,598.31 is: 389,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,886.44 : 640,163.38 = 282,598.31 : x
  2. Step 2: Convert to fraction form
    463,886.44/640,163.38 = 282,598.31/x
  3. Step 3: Cross multiply
    463,886.44x = 640,163.38 × 282,598.31
  4. Step 4: Simplify right side
    463,886.44x = 180,909,090,205.80
  5. Step 5: Solve for x
    x = 180,909,090,205.80/463,886.44
  6. Step 6: Final answer
    x = 389,985.73

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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.