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Finding the Fourth Proportional to 458,664.40, 687,996.60 and 177,999.40

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Solution

The fourth proportional to 458,664.40, 687,996.60 and 177,999.40 is: 266,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,664.40 : 687,996.60 = 177,999.40 : x
  2. Step 2: Convert to fraction form
    458,664.40/687,996.60 = 177,999.40/x
  3. Step 3: Cross multiply
    458,664.40x = 687,996.60 × 177,999.40
  4. Step 4: Simplify right side
    458,664.40x = 122,462,982,002.04
  5. Step 5: Solve for x
    x = 122,462,982,002.04/458,664.40
  6. Step 6: Final answer
    x = 266,999.10

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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.