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Finding the Fourth Proportional to 465,180.47, 641,929.16 and 271,598.93

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Solution

The fourth proportional to 465,180.47, 641,929.16 and 271,598.93 is: 374,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,180.47 : 641,929.16 = 271,598.93 : x
  2. Step 2: Convert to fraction form
    465,180.47/641,929.16 = 271,598.93/x
  3. Step 3: Cross multiply
    465,180.47x = 641,929.16 × 271,598.93
  4. Step 4: Simplify right side
    465,180.47x = 174,347,270,461.15
  5. Step 5: Solve for x
    x = 174,347,270,461.15/465,180.47
  6. Step 6: Final answer
    x = 374,794.90

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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.