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Finding the Fourth Proportional to 458,548.00, 687,940.93 and 174,243.47

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Solution

The fourth proportional to 458,548.00, 687,940.93 and 174,243.47 is: 261,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,548.00 : 687,940.93 = 174,243.47 : x
  2. Step 2: Convert to fraction form
    458,548.00/687,940.93 = 174,243.47/x
  3. Step 3: Cross multiply
    458,548.00x = 687,940.93 × 174,243.47
  4. Step 4: Simplify right side
    458,548.00x = 119,869,215,446.00
  5. Step 5: Solve for x
    x = 119,869,215,446.00/458,548.00
  6. Step 6: Final answer
    x = 261,410.40

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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.