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Finding the Fourth Proportional to 416,282.82, 624,310.80 and 116,744.82

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Solution

The fourth proportional to 416,282.82, 624,310.80 and 116,744.82 is: 175,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,282.82 : 624,310.80 = 116,744.82 : x
  2. Step 2: Convert to fraction form
    416,282.82/624,310.80 = 116,744.82/x
  3. Step 3: Cross multiply
    416,282.82x = 624,310.80 × 116,744.82
  4. Step 4: Simplify right side
    416,282.82x = 72,885,051,970.06
  5. Step 5: Solve for x
    x = 72,885,051,970.06/416,282.82
  6. Step 6: Final answer
    x = 175,085.42

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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.