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Finding the Fourth Proportional to 458,699.43, 687,776.62 and 174,410.79

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Solution

The fourth proportional to 458,699.43, 687,776.62 and 174,410.79 is: 261,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,699.43 : 687,776.62 = 174,410.79 : x
  2. Step 2: Convert to fraction form
    458,699.43/687,776.62 = 174,410.79/x
  3. Step 3: Cross multiply
    458,699.43x = 687,776.62 × 174,410.79
  4. Step 4: Simplify right side
    458,699.43x = 119,955,663,637.73
  5. Step 5: Solve for x
    x = 119,955,663,637.73/458,699.43
  6. Step 6: Final answer
    x = 261,512.56

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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.