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Finding the Fourth Proportional to 376,858.80, 565,115.40 and 166,388.40

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Solution

The fourth proportional to 376,858.80, 565,115.40 and 166,388.40 is: 249,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,858.80 : 565,115.40 = 166,388.40 : x
  2. Step 2: Convert to fraction form
    376,858.80/565,115.40 = 166,388.40/x
  3. Step 3: Cross multiply
    376,858.80x = 565,115.40 × 166,388.40
  4. Step 4: Simplify right side
    376,858.80x = 94,028,647,221.36
  5. Step 5: Solve for x
    x = 94,028,647,221.36/376,858.80
  6. Step 6: Final answer
    x = 249,506.31

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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.