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Finding the Fourth Proportional to 458,435.87, 687,653.77 and 174,125.71

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Solution

The fourth proportional to 458,435.87, 687,653.77 and 174,125.71 is: 261,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,435.87 : 687,653.77 = 174,125.71 : x
  2. Step 2: Convert to fraction form
    458,435.87/687,653.77 = 174,125.71/x
  3. Step 3: Cross multiply
    458,435.87x = 687,653.77 × 174,125.71
  4. Step 4: Simplify right side
    458,435.87x = 119,738,200,935.43
  5. Step 5: Solve for x
    x = 119,738,200,935.43/458,435.87
  6. Step 6: Final answer
    x = 261,188.55

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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.