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Finding the Fourth Proportional to 416,069.82, 624,130.65 and 166,719.42

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Solution

The fourth proportional to 416,069.82, 624,130.65 and 166,719.42 is: 250,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,069.82 : 624,130.65 = 166,719.42 : x
  2. Step 2: Convert to fraction form
    416,069.82/624,130.65 = 166,719.42/x
  3. Step 3: Cross multiply
    416,069.82x = 624,130.65 × 166,719.42
  4. Step 4: Simplify right side
    416,069.82x = 104,054,699,972.22
  5. Step 5: Solve for x
    x = 104,054,699,972.22/416,069.82
  6. Step 6: Final answer
    x = 250,089.52

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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.