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Finding the Fourth Proportional to 458,356.90, 687,572.11 and 174,183.59

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Solution

The fourth proportional to 458,356.90, 687,572.11 and 174,183.59 is: 261,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,356.90 : 687,572.11 = 174,183.59 : x
  2. Step 2: Convert to fraction form
    458,356.90/687,572.11 = 174,183.59/x
  3. Step 3: Cross multiply
    458,356.90x = 687,572.11 × 174,183.59
  4. Step 4: Simplify right side
    458,356.90x = 119,763,778,503.68
  5. Step 5: Solve for x
    x = 119,763,778,503.68/458,356.90
  6. Step 6: Final answer
    x = 261,289.35

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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.