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Finding the Fourth Proportional to 458,097.80, 687,665.10 and 271,214.60

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Solution

The fourth proportional to 458,097.80, 687,665.10 and 271,214.60 is: 407,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,097.80 : 687,665.10 = 271,214.60 : x
  2. Step 2: Convert to fraction form
    458,097.80/687,665.10 = 271,214.60/x
  3. Step 3: Cross multiply
    458,097.80x = 687,665.10 × 271,214.60
  4. Step 4: Simplify right side
    458,097.80x = 186,504,815,030.46
  5. Step 5: Solve for x
    x = 186,504,815,030.46/458,097.80
  6. Step 6: Final answer
    x = 407,128.82

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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.