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Finding the Fourth Proportional to 458,617.70, 687,696.15 and 209,017.70

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Solution

The fourth proportional to 458,617.70, 687,696.15 and 209,017.70 is: 313,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,617.70 : 687,696.15 = 209,017.70 : x
  2. Step 2: Convert to fraction form
    458,617.70/687,696.15 = 209,017.70/x
  3. Step 3: Cross multiply
    458,617.70x = 687,696.15 × 209,017.70
  4. Step 4: Simplify right side
    458,617.70x = 143,740,667,571.86
  5. Step 5: Solve for x
    x = 143,740,667,571.86/458,617.70
  6. Step 6: Final answer
    x = 313,421.54

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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.