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Finding the Fourth Proportional to 416,521.09, 624,805.85 and 117,025.03

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Solution

The fourth proportional to 416,521.09, 624,805.85 and 117,025.03 is: 175,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,521.09 : 624,805.85 = 117,025.03 : x
  2. Step 2: Convert to fraction form
    416,521.09/624,805.85 = 117,025.03/x
  3. Step 3: Cross multiply
    416,521.09x = 624,805.85 × 117,025.03
  4. Step 4: Simplify right side
    416,521.09x = 73,117,923,340.43
  5. Step 5: Solve for x
    x = 73,117,923,340.43/416,521.09
  6. Step 6: Final answer
    x = 175,544.35

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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.