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Finding the Fourth Proportional to 416,309.07, 624,350.16 and 116,771.07

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Solution

The fourth proportional to 416,309.07, 624,350.16 and 116,771.07 is: 175,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,309.07 : 624,350.16 = 116,771.07 : x
  2. Step 2: Convert to fraction form
    416,309.07/624,350.16 = 116,771.07/x
  3. Step 3: Cross multiply
    416,309.07x = 624,350.16 × 116,771.07
  4. Step 4: Simplify right side
    416,309.07x = 72,906,036,237.87
  5. Step 5: Solve for x
    x = 72,906,036,237.87/416,309.07
  6. Step 6: Final answer
    x = 175,124.78

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1.5x scale

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.